Your diet must provide minimum amounts of the following items: calories, calcium, vitamin A, riboflavin, and...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Your diet must provide minimum amounts of the following items: calories, calcium, vitamin A, riboflavin, and ascorbic acid. Your daily requirement for these items (in the above order) may be determined by reading off the numerical values corresponding to the first five letters of your name on Table 1. The following are the units used: 10 calories, 10 grams, 103 international units, milligrams, and 10 milligrams. Your choice of foods is somewhat limited because you find it financially advantageous to trade at a discount store that has little imagination. You can buy: (1) wheat flour (enriched), (2) evaporated milk, (3) cheddar cheese, (4) beef liver, (5) cabbage, (6) spinach, (7) sweet potatoes, (8) lima beans (dried). The nutritional values per dollar spent have been tabulated by Dantzig in Table 2. In addition, the store features a greyish powder, (9) Product X, sold in bulk, whose nutritional values per unit cost are also given in Table 1. The units (same order of items as before) are 10 calories/dollar, 10 grams/dollar, 10 international units/dollar, 10- milligrams/dollar, milligrams/dollar. Your doctor has coded your diet requirements and the nutritional properties of Product X under the first five letters of your name in Table 1. A B Diet 7 60 83 D 10 E 39 F 59 Table 1 X 63 N 6 52 0 10 Diet X 91 45 59 P 32 82 85 Q 51 98 47 67 97 82 R 58 S 20 50 69 U T 66 28 78 54 44 V 81 33 26 W 81 59 61 30 X 61 0 86 G 38 H 30 I 65 J 27 K 91 L 68 43 Y M 49 90 Z Table 2 Commodity 1. Wheat flour (enriched) 5. Com meal 15. Evaporated milk (can) 17. Oleomargarine 19. Cheese (cheddar) 21. Peanut butter 24. Lard 30. Liver (beef) 34. Pork loin roast 39 83 15.7 41.7 a) Find your minimum-cost diet and its cost. b) How much would you be willing to pay for pure vitamin A? pure riboflavin? c) By how much would the cost of lima beans have to change before it would enter (or leave, as the case may be) your diet? 2.2 4 d) Over what range of values of cost of beef liver would your diet contain this wonderful food? Calories Protein Calcium Iron Vitamin A Thiamine Riboflavin Niacin (1000) (grams) (grams) (mg.) (1000 IU) (mg.) 55.4 44:7 1411 2:0 365 897 1.7 99 422 15.1 36.0 8.4 9 6 6 20.6 17 7.4 448 661 e) Suppose the cost of foods 1, 3, 5, 7, and 9 went up 10%. How much would you be willing to pay for pure vitamin A? pure riboflavin? f) If the wheat flour were enriched by 10 units of vitamin A without additional cost, would this change your diet? g) A new food has come out (called GLUNK) having nutritional values per dollar of 83, 17, 25, 93, 07 (values are in the same order as for Product X). Would you want to include the new food in your diet? ASSE 333 .6 16.4 1.0 2 3 6.8 3.7 125 4.0 166 336 106 138 139 4.4 37 4.4 5.8 45 2.4 80 2.6 36 60 5.8 59 14.3 118 1.1 138 06 9.6 2.7 54 8.5 87 1.7 173 12.8 99 2.5 154 17.4 3.7 459 1055 26.9 1691 11.4 792 249 705 138 6 19 48 3.8 1.8 30.9 26.0 55.8 28.1 4 169.2 3.5 69.0 7.2 17.4 3.0 2 2 16.6 6.7 918.4 290.7 86.8 85.7 5.1 8 .8 9.6. T 6.4 18.2 1.0 4.3 9.0 4.7 29.4 27 5.7 8.4 1.2 3.9 26.9 38.4 10.3 8.1 (mg.) (mg.) (mg.) 33.3 441 7.9 106 235 23.5 11 5 40. Salmon, pink (can) 45. Green beans 46. Cabbage PASE 50. Onions 51. Potatoes PANT 52. Spinach 53. Sweet potatoes 64. Peaches, dried 65. Prunes, dried 68. Lima beans, dried 69. Navy beans, dried Source: G. B. Dantzig, Linear Programming and Extension, Princeton University Press, Princeton. N.J., 1963. 4 471 5 50.8 3.6 4.9 209 37 X 26 5.8 4.5 316 79 13.8 5.4 4.3 5.9 21 7.1 198 - 33 92 83 55 Ascorbic 4.3 38.2 24.6 217 65 93 15xIIIIllgll Your diet must provide minimum amounts of the following items: calories, calcium, vitamin A, riboflavin, and ascorbic acid. Your daily requirement for these items (in the above order) may be determined by reading off the numerical values corresponding to the first five letters of your name on Table 1. The following are the units used: 10 calories, 10 grams, 103 international units, milligrams, and 10 milligrams. Your choice of foods is somewhat limited because you find it financially advantageous to trade at a discount store that has little imagination. You can buy: (1) wheat flour (enriched), (2) evaporated milk, (3) cheddar cheese, (4) beef liver, (5) cabbage, (6) spinach, (7) sweet potatoes, (8) lima beans (dried). The nutritional values per dollar spent have been tabulated by Dantzig in Table 2. In addition, the store features a greyish powder, (9) Product X, sold in bulk, whose nutritional values per unit cost are also given in Table 1. The units (same order of items as before) are 10 calories/dollar, 10 grams/dollar, 10 international units/dollar, 10- milligrams/dollar, milligrams/dollar. Your doctor has coded your diet requirements and the nutritional properties of Product X under the first five letters of your name in Table 1. A B Diet 7 60 83 D 10 E 39 F 59 Table 1 X 63 N 6 52 0 10 Diet X 91 45 59 P 32 82 85 Q 51 98 47 67 97 82 R 58 S 20 50 69 U T 66 28 78 54 44 V 81 33 26 W 81 59 61 30 X 61 0 86 G 38 H 30 I 65 J 27 K 91 L 68 43 Y M 49 90 Z Table 2 Commodity 1. Wheat flour (enriched) 5. Com meal 15. Evaporated milk (can) 17. Oleomargarine 19. Cheese (cheddar) 21. Peanut butter 24. Lard 30. Liver (beef) 34. Pork loin roast 39 83 15.7 41.7 a) Find your minimum-cost diet and its cost. b) How much would you be willing to pay for pure vitamin A? pure riboflavin? c) By how much would the cost of lima beans have to change before it would enter (or leave, as the case may be) your diet? 2.2 4 d) Over what range of values of cost of beef liver would your diet contain this wonderful food? Calories Protein Calcium Iron Vitamin A Thiamine Riboflavin Niacin (1000) (grams) (grams) (mg.) (1000 IU) (mg.) 55.4 44:7 1411 2:0 365 897 1.7 99 422 15.1 36.0 8.4 9 6 6 20.6 17 7.4 448 661 e) Suppose the cost of foods 1, 3, 5, 7, and 9 went up 10%. How much would you be willing to pay for pure vitamin A? pure riboflavin? f) If the wheat flour were enriched by 10 units of vitamin A without additional cost, would this change your diet? g) A new food has come out (called GLUNK) having nutritional values per dollar of 83, 17, 25, 93, 07 (values are in the same order as for Product X). Would you want to include the new food in your diet? ASSE 333 .6 16.4 1.0 2 3 6.8 3.7 125 4.0 166 336 106 138 139 4.4 37 4.4 5.8 45 2.4 80 2.6 36 60 5.8 59 14.3 118 1.1 138 06 9.6 2.7 54 8.5 87 1.7 173 12.8 99 2.5 154 17.4 3.7 459 1055 26.9 1691 11.4 792 249 705 138 6 19 48 3.8 1.8 30.9 26.0 55.8 28.1 4 169.2 3.5 69.0 7.2 17.4 3.0 2 2 16.6 6.7 918.4 290.7 86.8 85.7 5.1 8 .8 9.6. T 6.4 18.2 1.0 4.3 9.0 4.7 29.4 27 5.7 8.4 1.2 3.9 26.9 38.4 10.3 8.1 (mg.) (mg.) (mg.) 33.3 441 7.9 106 235 23.5 11 5 40. Salmon, pink (can) 45. Green beans 46. Cabbage PASE 50. Onions 51. Potatoes PANT 52. Spinach 53. Sweet potatoes 64. Peaches, dried 65. Prunes, dried 68. Lima beans, dried 69. Navy beans, dried Source: G. B. Dantzig, Linear Programming and Extension, Princeton University Press, Princeton. N.J., 1963. 4 471 5 50.8 3.6 4.9 209 37 X 26 5.8 4.5 316 79 13.8 5.4 4.3 5.9 21 7.1 198 - 33 92 83 55 Ascorbic 4.3 38.2 24.6 217 65 93 15xIIIIllgll
Expert Answer:
Answer rating: 100% (QA)
a Based on the letters NO your requirements are Calories 7000 Calcium 60 grams Vitamin A 83000 IU Riboflavin 1 mg Ascorbic Acid 39 mg The minimum cost ... View the full answer
Related Book For
College Mathematics for Business Economics Life Sciences and Social Sciences
ISBN: 978-0321614001
12th edition
Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
Posted Date:
Students also viewed these accounting questions
-
2. In January 2016, the Free Cancer Foundation accepted an endowment of $500,000, the income from which is restricted to promoting research related to recovery from cancer. All gains, whether...
-
A small consulting company wants to make the switch to QuickBooks Online. All of their expenses are paid at the time they are incurred, so there is no need to track bills in the system. There is only...
-
A cattle rancher in Australia wants to determine a least-cost diet to feed the cattle on his ranch. The diet, however, must contain certain minimum amounts of the following four essential nutrients:...
-
Histogram. Suppose that the standard input stream is a sequence of double values. Write a program that takes an integer n and two real numbers lo and hi as command-line arguments and uses StdDraw to...
-
A supercritical steam power plant has a high pressure of 30 MPa and an exit condenser temperature of 50C. The maximum temperature in the boiler is 1000C and the turbine exhaust is saturated vapor...
-
What is fractional reserve banking and how did it develop? What tradeoff does fractional reserve banking face that 100% reserve banking does not ?
-
Show that for the Ho-Lee model the (risk-neutral) standard deviation of the one-period rate is exactly \(b_{k} / 2\).
-
A uniform rod of length L and mass m is supported as shown with b = 0.2 L when the cable attached to end B suddenly breaks. Determine at this instant (a) The acceleration of end B, (b) The reaction...
-
As of December 3 1 , Year 1 , Flowers Company had total assets of $ 2 2 0 , 0 0 0 , total liabilities of $ 6 6 , 0 0 0 , and common stock of $ 1 1 0 , 0 0 0 . The company s Year 1 income statement...
-
Ayayai Hotels Ltd. (AHL) is a small boutique hotel that provides 44 suites that can be rented by the day, week, or month. Food service is available through room service as well. In addition, there...
-
To break even, a business must ___ a. sell enough units to cover all its costs b. sell enough units to cover its fixed costs c. sell enough units to earn a profit d. sell enough units to cover...
-
Under the shop, _________________ no one is forced to join the union.
-
What are the major factors that an organization needs to analyze before it can consider entering a foreign market?
-
How do you think a learning organization would act in this dynamic environment? What survival chances do the stagnant organizations have?
-
What is the role of codetermination? In your opinion, is the incorporation of lower-level employees on the board appropriate?
-
Discuss the importance of the common-size financial statements in strategic evaluation and control process.
-
Use the following income statement and balance sheets to answer the three questions below the financial information: Cash Accounts receivable Inventory Current assets Net fixed assets Total assets...
-
The first law of thermodynamics is sometimes whimsically stated as, You cant get something for nothing, and the second law as, You cant even break even. Explain how these statements could be...
-
For Problem, evaluate to five decimal places using a calculator. (A) log 72.604 (B) log 0.033041 (C) ln 40,257 (D) ln 0.005 926 3
-
Refer to Problem 13. How fast is the surface area of the sphere increasing when the radius is 10 centimeters? [Use S = 4TTR2, TT * 3.14.] Problem 13 The radius of a spherical balloon is increasing at...
-
A company manufactures 10 - and 3 - speed bicycles. The weekly demand and cost equations are p = 230 - 9x + y q = 130 + x - 4y C(x,y) = 200 + 80x + 30y where %p is the price of a 10 - speed bicycle,...
-
An entitys functional currency is: A. The currency of its parents country. B. The currency of its own country. C. The currency in which the financial statements are presented. D. The currency of the...
-
The variety of possible methods of foreign currency translation, and the different ways of treating gains arising, show that adequate harmonization for international comparison purposes is a long way...
-
Entity X based in one country (currency $) bought goods from Entity Y in another country (currency :) for :300,000 on 1 May 20X1. The spot rate on that date was $1 = :1. As at 31 December 20X1, the...
Study smarter with the SolutionInn App