Question

A company produces and sells shirts. The fixed costs are $7000 and the variable costs are $6 per shirt. (a) Shirts are sold for $12 each. Find cost and revenue as functions of the quantity of shirts, q. Cost is C(q) = 7000 + 6 q Revenue is R(q) = 12 q (b) The company is considering changing the selling price of the shirts. Demand is q = 2000 - 40p, where p is price in dollars and q is the number of shirts. What quantity is sold at the current price of $12? What profit is realized at this price? At the current price, the company sells 1520 shirts. The profit realized at his price is $ 2120 (c) Use the demand equation to write cost and revenue as functions of the price, p. Then write profit as a function of price. Cost is C(p) = 19000 - 240 p Revenue is R(p) = 20000 - 40 p^2 Profit is ?(p) = 2240 p - 40 p · 2 - 19000 (d) Use a graphing utility to graph profit against price. Find the price that maximizes profits. What is this profit? The price that maximizes profits is $ 28 and the profit is $ 12360

          A company produces and sells shirts. The fixed costs are $7000 and the variable costs are $6 per shirt.
(a) Shirts are sold for $12 each. Find cost and revenue as functions of the quantity of shirts, q.
Cost is C(q) = 7000 + 6 q
Revenue is R(q) = 12 q
(b) The company is considering changing the selling price of the shirts. Demand is q = 2000 - 40p, where p is price in dollars and q is the number of shirts. What quantity is sold at the current price of $12? What profit is realized at this price?
At the current price, the company sells 1520 shirts.
The profit realized at his price is $ 2120
(c) Use the demand equation to write cost and revenue as functions of the price, p. Then write profit as a function of price.
Cost is C(p) = 19000 - 240 p
Revenue is R(p) = 20000 - 40 p^2
Profit is ?(p) = 2240 p - 40 p · 2 - 19000
(d) Use a graphing utility to graph profit against price. Find the price that maximizes profits. What is this profit?
The price that maximizes profits is $ 28
and the profit is $ 12360

A company produces and sells shirts. The fixed costs are 7000 and the variable costs are6 per shirt.
(a) Shirts are sold for 12 each. Find cost and revenue as functions of the quantity of shirts, q.
Cost is C(q) = 7000 + 6 q
Revenue is R(q) = 12 q
(b) The company is considering changing the selling price of the shirts. Demand is q = 2000 - 40p, where p is price in dollars and q is the number of shirts. What quantity is sold at the current price of12? What profit is realized at this price?
At the current price, the company sells 1520 shirts.
The profit realized at his price is 2120
(c) Use the demand equation to write cost and revenue as functions of the price, p. Then write profit as a function of price.
Cost is C(p) = 19000 - 240 p
Revenue is R(p) = 20000 - 40 p^2
Profit is ?(p) = 2240 p - 40 p · 2 - 19000
(d) Use a graphing utility to graph profit against price. Find the price that maximizes profits. What is this profit?
The price that maximizes profits is 28
and the profit is 12360

Added by David S.

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