1 Assume daily demand for a video streaming player is linear

1- Assume daily demand for a video streaming player is linear and is represented by the function:

     p = .25q – 4
where p is the price in dollars at which q units are demanded. Find the price when the quantity demanded is 376.

2-Assume a company owner has determined the supply function for pairs of boots is:
           p = 1/3q + 3
where p is the price per pair of boots in dollars at which q pairs are supplied. What is the quantity supplied when the price per pair is $72?

3-Consider the supply and demand functions:
         Supply:  p = 4q + 3    Demand: p = 0.5q + 30
where p is the price per unit in dollars and q is the quantity in units. Find the equilibrium price.

4-A company sells its product for $79. The company has marginal costs of $37 and annual fixed costs of $95,000. What is the annual total cost to produce 8,500 units of its product?

5-Roundup Racquets restrings tennis racquets for $22. If the store restrings 20 racquets each month, what is the monthly revenue from restringing racquets.

6-A cupcake shop has a daily cost function of C(x) = 1.25x + 250. What is the daily total cost to produce 108 cupcakes?

7- A store sells slushie drinks for $2.35 each. The revenue function is R(x) = 2.35x. What is the revenue when the store sells 23 slushie drinks?

8-The new best-selling game from AppBeach sells for $3.99. Last week the company made a profit of $4,626.75 from selling 2,325 downloads of the game. What was the total revenue earned from selling the game last week?

Solution