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Bus 207 Assignment 3 Essay

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Bus 207: Set #03
Reading:
Appendix to Ch. 4: A Calculus Approach to Individual Behavior
Lecture Notes

Hand in the following questions only as part of Assignment 3: Qs 1, 2, 5, 8, 9, 10, 11.

Q1. A firm has decided through regression analysis that its sales (S) are a function of the amount of advertising (measured in units) in two different media, television (x) and magazines (y): S(x, y) = 100 – x2 + 30x – y2 + 40y (a) Find the level of TV and magazine advertising units that maximizes the firm's sales. (b) Suppose that the advertising budget is restricted to 31 units. Determine the level of advertising (in units) that maximizes sales subject to this budget constraint.
(c) Give an economic interpretation for the …show more content…

He devotes 40 hours every week to golf (G) and curling (C) from which he derives enjoyment according to the utility function: U(G,C) = G0.5C0.5
It takes Seignior Cruz 4 hours to play a round of golf and 1 hour to play a game of curling.
(a) How many rounds of golf and games of curling will Seignior Cruz play in a week?
(b) Give an economic interpretation for the value of the Lagrangian Multiplier.
(c) By approximately how much will Seignior Cruz’s utility change if, starting immediately, his wife insists that he spends one hour less on athletic activities every week? (We are making the bold assumption here that playing golf or curling is athletic!) Q8. An individual lives in a world where there are only two goods, X and Y. His utility function per period is given by: U = 25x - 0.5x2 + 50y - y2
The price of x is $4 and the price of y is $8.
(a) Determine the utility-maximizing combination of x and y if his income is $300. What is his marginal utility of money equal to?
(b) Determine the utility-maximizing combination of x and y if his income increases by $60. What can you say about his total utility of money at this higher income level?
(c) Determine the utility-maximizing combination of x and y if his income decreases by $60. What is his marginal utility of money equal to at this lower income level?
(d) Using the three different income levels from (a), (b), and (c) above, sketch his

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