Let the demand function for a product made in Philadelphia is given by the function D(q) = – 1.95q + 300, where q is the quantity of items in demand and D(q) is the price per item, in dollars, that can be charged when q units are sold. Suppose fixed costs of production for this item are $4, 000 and variable costs are $8 per item produced. If 71 items are produced and sold, find the following:

College Algebra (MindTap Course List)
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ISBN:9781305652231
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Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Let the demand function for a product made in Philadelphia is given by the function
D(g) = – 1.95q + 300, where q is the quantity of items in demand and D(g) is the price
per item, in dollars, that can be charged when q units are sold. Suppose fixed costs of
production for this item are $4, 000 and variable costs are $8 per item produced. If 71 items
are produced and sold, find the following:
A) The total revenue from selling 71 items (to the nearest penny).
Answer: $
B) The total costs to produce 71 items (to the nearest penny).
Answer: $
C) The total profits to produce 71 items (to the nearest penny. Profits may or may not be
negative.).
Answer: $
Transcribed Image Text:Let the demand function for a product made in Philadelphia is given by the function D(g) = – 1.95q + 300, where q is the quantity of items in demand and D(g) is the price per item, in dollars, that can be charged when q units are sold. Suppose fixed costs of production for this item are $4, 000 and variable costs are $8 per item produced. If 71 items are produced and sold, find the following: A) The total revenue from selling 71 items (to the nearest penny). Answer: $ B) The total costs to produce 71 items (to the nearest penny). Answer: $ C) The total profits to produce 71 items (to the nearest penny. Profits may or may not be negative.). Answer: $
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