Question 1 A concert promoter has found that if she sells tickets for $50 each, she can sell 1200 tickets, but for each $5 she raises the price, 50 less people attend. What price should she sell the tickets at to maximize her revenue?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 1

A concert promoter has found that if she sells tickets for $50 each, she can sell 1200 tickets, but for each $5 she raises the price, 50 less people attend. What price should she sell the tickets at to maximize her revenue?

 

Question 2

Given a budget constraint of $108 when  and , find K and L where the generalized Cobb-Douglas production function given  is optimized.

Question 4

Suppose that in a hypothetical economic setting, the demand curve is  and the supply curve is . Find the equilibrium price and quantity. Compute the consumer and producer surplus in this hypothetical economic.

 

Question 5

A company estimates that the marginal cost (in dollars per item) of the production is  If the cost of producing one item is $562, find the cost of producing 100 items.

 

Question 6

A company’s marginal cost function is  where x is the number of units sold. Find the total cost of the first 49 units (from

 

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