Circle the one best answer, fill in the blank(s), or work out completely.Show calculations, please.

The multivariate demand function below will be needed for questions 12-18.

Setting:Grapple, Inc. is a leading seller of laptop personal computers.However, they want to become a leading tablet seller, too.Your marketing department, aided by your economics staff, has estimated a function to help you in the quest for market leader in tablets.The variables are defined after the function.

Q_g= the number of Grapple tablet computers demanded per week.

P_g= the price of each new Grapple tablet (in $).

P_h= the price of each Hewpaq tablet (in $).

P_r= the price of each Ronova tablet.

P_dv= the price to equip a tablet with Holographic digital video (in $, this is an upgrade option that enables three dimensional graphics on a tablet.Two dimensional graphics is standard equipment).

P_sc= the price of various screen sizes (in $, a 8 inch is standard, but upgrade options are 10 inch extra sharp, 12 inch, 12 inch extra sharp, Each also has a touch-screen option.The upgrades get progressively more expensive as the size and capability increases).

P_mm= the price of memory chip upgrades (in $).More 2 Gigabyte (Gb) chips can be added.Of course each added 2 Gb chip costs more.One 2 Gb chip is standard.

Y = average annual disposable income of a typical tablet purchaser (in $).

A_g= average age of a tablet purchaser (in years).

A = average annual Grapple advertising expenditure (in $).

C = number of computer systems the average tablet purchaser already owns.

MANAGERIAL ECONOMICS Circle the one best answer, fill in the blank(s), or work out completely. Show calculations, please. 1. If supply is unchanged, but demand increases, we can conclude that the new equilibrium: a. Quantity must increase but market price may fall, stay the same or even increase. b. Price must fall but market quantity may fall, stay the same or even increase. c. Price must increase but market quantity may fall, stay the same or even increase. d. Quantity must decrease but market price may fall, stay the same or even increase. c. Both market quantity and market price must increase. f. Market quantity must increase and market price must decrease. 2. On the diagram for question two, circle the letter that correctly completes the following statement: Let De and So represent the original supply and demand curves. If there has been a decrease in both supply and demand, then the new equilibrium point is Price D2 SI M Quantity 3. One of the following equations represents a supply curve and the other a demand curve. You have to decide which is which. Circle the answer for question three that is the closest to being correct. The equations are: Q -150-10P Q = 100 + 5.6P What quantity will suppliers willingly supply if market price is forced to be $9? (all close, but approximate) a. 3.2 b. 60.0 111.0 d. 118.0C. 130.0 f. 150.0 4. Here is a function that is either a demand function or a supply function (but not both): Q =12 + 5P A change occurs so that the following function now represents the situation: Q =6+5P We can conclude that (select the appropriate conclusion). a. demand has increased b. demand has decreased c. supply has increased d. supply has decreased c. quantity supplied has decreased f. quantity demanded has decreased g. quantity demanded has increased h. quantity supplied has increased 5. Here is a demand function: Q =12 - 12P Select the correct formula for marginal revenue (MR) a. MR =2-.40 b. MR =3-.5Q e. MR =1-.167Q C. MR =1.5-.2Q d. MR=1-.333Q f. MR=1.5-.333Q) 6. Select a choice for the quantity that will maximize total revenue for the function in 5 (above). a. b. 3 c. 4.5 d. 5 c. 6 7.5 7. Suppose the price elasticity of demand for bread is 1.00. If the price of bread falls by 20%, the quantity demanded will increase by: a. 2 percent and total expenditures on bread will rise. b. 2 percent and total expenditures on bread will fall. c. 20 percent and total expenditures on bread will rise.d. 20 percent and total expenditures on bread will fall. c. 20 percent and total expenditures on bread will be unchanged. 8. Suppose that a 20% decrease in the price of good Y causes a 20% increase in demand for good X. The coefficient of cross-price elasticity of demand is: a. negative and therefore these goods are inferior goods. b. negative and therefore these goods are complements. c. positive and therefore these goods are substitutes. d. positive and therefore these goods are normal goods. 9. When the price of a quart of milk increased from $1.55 to $2.00 the quantity demanded decreased from 21,000 per day to 19,000 per day. In this range, the price elasticity of demand is: a. 0.39 b. 0.5 .89 d. 1.0 c. 1.75 f. 2.83 10. If the clasticity of supply for crude oil is 0.5, how much will the price have to increase to increase production 20%? a. 2.5% b. 8% c. 10% d. 15% c. 25% f. 40% 11. Demand for X increases from 100 to 125 when the price of Y increases from $5 to $6. The cross-price elasticity of demand is: a. -3.67 b. -1.22 C. d. 1.44 c. 3.67 f. 4.33The multivariate demand function below will be needed for questions 12-18. Setting: Grapple, Inc. is a leading seller of laptop personal computers. However, they want to become a leading tablet seller, too. Your marketing department, aided by your economics staff, has estimated a function to help you in the quest for market leader in tablets. The variables are defined after the function. Q, =10000 -25P +20P, +30P, -15P-35P -10P +0.05A, +0.03A-25C +0.1Y Ox = the number of Grapple tablet computers demanded per week. Pa = the price of each new Grapple tablet (in $). Ph = the price of each Hewnaq tablet (in $). Ps = the price of each Rogova tablet. Pe= the price to equip a tablet with Holographic digital video (in $, this is an upgrade option that enables three dimensional graphics on a tablet. Two dimensional graphics is standard equipment). Pxe = the price of various screen sizes (in $, a 8 inch is standard, but upgrade options are 10 inch extra sharp, 12 inch, 12 inch extra sharp, Each also has a touch-screen option. The upgrades get progressively more expensive as the size and capability increases). Power = the price of memory chip upgrades (in $). More 2 Gigabyte (Gb) chips can be added. Of course each added 2 Go chip costs more. One 2 Gb chip is standard Y = average annual disposable income of a typical tablet purchaser (in $). As = average age of a tablet purchaser (in years). A = average annual Grapple advertising expenditure (in $). C = number of computer systems the average tablet purchaser already owns.12. If all variables remain unchanged except the price of a Grapple tablet (P,), which decreases by $50, then the quantity demanded of Grapple tablets will: a. decrease by 1000 b. decrease by 1250 c. increase by 1000 d. increase by 1250 13. If all variables remain unchanged except the price of screen sizes (Px), which decreases by $50, then the demand for Grapple tablets will: i. decrease by 750 b. decrease by 1500 c. decrease by 1750 d. increase by 750 c. increase by 1500 f. increase by 1750 14. If all variables remain unchanged except the price of Holographic digital video (PA), which decreases by $30, then the demand for Grapple tablets will: a. increases by 200 b. decreases by 200 C. increases by 450 d. decreases by 450 e. increases by 700 f. decreases by 700 15. 15. You can tell by the sign preceding the price of memory chips (Pass) that memory chips are: In the questions 16-18 use these values in the multivariate demand function for Grapple tablets: PA = $600 Pur= $800 P = $700 PAX = $40 P = $200 Put = $20 A =40 A = $400,000 C=2 Y=$40,000 a. normal goods b. substitute goods c. inferior goods d. complementary goods16. After the values above are entered into your demand function, what quantity of Grapple tablets will be demanded? Be very careful with this calculation. This value will be needed below. a. . 19401 b. 28902 C. 31027 d. 35902 C. 38902 f. 40152 17. What is the point cross-price elasticity of demand for Grapple tablets with respect to the price of Holographic digital video (PA)? Show the values you use in the formula and work out completely. Be sure to show the sign. Does this value indicate a very sensitive (clastic; responsive) relationship (write a one sentence comment)? The formula is: E = Work elasticity out in detail, give your calculations below. Next, write a one sentence comment addressing the question asked. 18. What is the point price elasticity of Grapple tablets with respect to the above price of Grapple tablets (P)? Show the values you use in the formula and work out completely. Be sure to show the sign. Does this value indicate a very sensitive (clastic; responsive) relationship (write a one sentence comment)? The formula is: E= Q P. Work elasticity out in detail, give your calculations below. Next, write a one sentence comment addressing the question asked.19. Write the first derivative of the following function in the space provided on the answer sheet, Write your derivative in the space below: Y = 13+ 3X - 2X' +3X' 20. Write the first derivative of the following function in the space provided on the answer sheet, Write your derivative in the space below: S = 10W + 4W? -10W-3 + 3W3