4 Joyce and Marvin run a day care for preschoolers. They are trying to decide what...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
4 Joyce and Marvin run a day care for preschoolers. They are trying to decide what to feed the children for lunches. They would like to keep their costs down, but also need to meet the nutritional requirements for children. They have already decided to go with peanut butter and jelly sandwiches, and some combination of graham crackers, milk and orange juice. The nutritional content of each food choice and its cost are given in the table below. Calories Total Vitamin C Food Item Protein (g) Cost (Cents) from Fat Calories (mg) Bread (1 slice) Peanut butter (1 10 70 3 75 100 4 4 tbsp) Strawberry jelly (1 tbsp) Graham cracker 50 3 7 30 60 1 8 (1 cracker) Milk (1 cup) Juice (1 cup) 70 150 15 100 150 35 The nutritional requirements are as follows. Each child should receive between 400 and 600 calories. No more than 30 percent of the total calories should come from fat. Each child should consume at least 60 milligrams (mg) of vitamin C and 12 grams (g) of protein. Furthermore, for practical reasons, each child needs exactly 2 slices of bread (to make a sandwich), at least twice as much peanut butter as jelly, and at least 1 cup of liquid (milk and/or juice). Joyce and Marvin would like to select the food choices for each child which minimize cost while meeting the above requirements. Formulate a linear programming model for this problem. [20 points] 4 Joyce and Marvin run a day care for preschoolers. They are trying to decide what to feed the children for lunches. They would like to keep their costs down, but also need to meet the nutritional requirements for children. They have already decided to go with peanut butter and jelly sandwiches, and some combination of graham crackers, milk and orange juice. The nutritional content of each food choice and its cost are given in the table below. Calories Total Vitamin C Food Item Protein (g) Cost (Cents) from Fat Calories (mg) Bread (1 slice) Peanut butter (1 10 70 3 75 100 4 4 tbsp) Strawberry jelly (1 tbsp) Graham cracker 50 3 7 30 60 1 8 (1 cracker) Milk (1 cup) Juice (1 cup) 70 150 15 100 150 35 The nutritional requirements are as follows. Each child should receive between 400 and 600 calories. No more than 30 percent of the total calories should come from fat. Each child should consume at least 60 milligrams (mg) of vitamin C and 12 grams (g) of protein. Furthermore, for practical reasons, each child needs exactly 2 slices of bread (to make a sandwich), at least twice as much peanut butter as jelly, and at least 1 cup of liquid (milk and/or juice). Joyce and Marvin would like to select the food choices for each child which minimize cost while meeting the above requirements. Formulate a linear programming model for this problem. [20 points]
Expert Answer:
Answer rating: 100% (QA)
Consider the given problem here Bbread Ppeanut butter Sstrawberry jelly Ggraham cracker Mmilk and Jj... View the full answer
Related Book For
John E Freunds Mathematical Statistics with Applications
ISBN: 978-0134995373
8th edition
Authors: Irwin Miller, Marylees Miller
Posted Date:
Students also viewed these accounting questions
-
For both propositions i. and ii. below, a. create a truth table, and b. explain whether or not the proposition is a tautology, contradiction, or neither, and explain why. i. (p ^q) V (p ^-q) ii....
-
More than 30 percent of the results from major search engines for the keyword phrase ring tone are fake pages created by spammers.
-
A doctor claims that less than 30 percent of all per-sons exposed to a certain amount of radiation will feel any ill effects. If, in a random sample, only 1 of 19 per-sons exposed to such radiation...
-
Show that 15 is an inverse of 7 modulo 26.
-
The Loyd Company had 150 units of product Omega on hand at December 1, Year 1 costing $ 400 each. Purchases of product Omega during December were as follows: Sales during December were 500 units on...
-
Consider four advertising campaigns where for each one it is cancelled before launch with probability 0.10, it is launched but canceled early with probability 0.18, it is launched and runs its...
-
During your audit of Fletcher Corporation's June 30, 1999, financial statements, you become aware of the following control procedures over Fletcher's personnel and payroll activities: 1. All...
-
Required On December 31, 2016, Morgan Company had the following normal account balances in its general ledger. Use this information to prepare a trial balance. Land .............. $30,000 Unearned...
-
During the year 2019, he bought a new equipment at RM10,660 and he received RM5,200 cash from the sale of old equipment. Required: (b) Prepare cash flow statement that will show Mubin the movement of...
-
Jackson's Vacuum company makes two types of vacuums: Basic and Advanced. The factory is set up into 3 working departments. Both vacuums utilize process #1 to assemble the basic components. Those...
-
Number 11.39. Please help me time interval t= 0 and r 5 s. 11.39. A projectile is fired due east from a point on the surface of Earth at a north latitude of A, with a ve- locity u and at angle of...
-
Discuss the authoritarian, democratic, and laissez-faire leadership styles.?
-
If a 2 2 0 V electric lamp, drawing a current of 5 . 0 A , is used for 3 0 . 0 minutes, calculate the amount of energy that it requires.
-
Consider a Lookback Put option with maturity 9 months. The underlying asset has current price S 0 = 1 0 euro, the price can rise or fall by 5 0 % , during each three - months period of the next nine...
-
You will receive 120 a year for the next 5 years beginning today. What is the present value of these cashflows if r = 10%? Numeric Response
-
Suppose you make a one - time $ 1 5 , 0 0 0 investment into an account that yields a 8 % annual return. If you keep the account for 1 1 years, what should be the account balance?
-
For his business, Nicholas leased equipment valued at $25,000. The terms of the lease required payments of $1850 every month. If the first payment is due eighteen months after the lease was signed...
-
Find the cross product a x b and verify that it is orthogonal to both a and b. a = (t, 1, 1/t), b = (t 2 , t 2 , 1)
-
A sample survey at a supermarket showed that 204 of 300 shoppers regularly use coupons. Use the large-sample confidence-interval formula of Theorem 11.6 to construct a 95% confidence interval for the...
-
Making use of the methods of Section 8.7, it can be shown that for a random sample of size n = 2 from the population of Exercise 11.2, the distribution of the sample range is given by Use this result...
-
Show that the two formulas for x2 on pages 368 and 369 are equivalent.
-
Fill in the Blank. For a shaft carrying masses \(m_{1}, m_{2}, \ldots\), Rayleigh's method gives the natural frequency as \[\omega=\left\{\frac{g\left(m_{1} w_{1}+m_{2} w_{2}+\cdots ight)}{m_{1}...
-
True or False. In the matrix iteration method, any computational error will not yield incorrect results.
-
Rayleigh's method a. Finds the natural frequencies and mode shapes of the system, one at a time, using several trial values for each frequency. b. Finds all the natural frequencies using trial...
Study smarter with the SolutionInn App