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The graph to the right shows the profit, P(x), given by the red dashed line, 780- the revenue R(x), given by the black dot-dashed line, and the production cost, C(x), given by the blue solid line, when a company produces and sells x units of an item. 660- (a) Find formulas for each line. (b) Find the break-even quantity. (c) Give the cost to the company to produce each item. y 390- (d) Give the unit price of each item to the consumer. 120- 15 30 45 60 -120- -५

The graph to the right shows the profit, P(x), given by the red dashed line, 780- the revenue R(x), given by the black dot-dashed line, and the production cost, C(x), given by the blue solid line, when a company produces and sells x units of an item. 660- (a) Find formulas for each line. (b) Find the break-even quantity. (c) Give the cost to the company to produce each item. y 390- (d) Give the unit price of each item to the consumer. 120- 15 30 45 60 -120- -५

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 88E
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The graph to the right shows the profit, P(x), given by the red dashed line, the revenue R(x), given by the black dot-dashed line, and the production cost, C(x), given by the blue solid line, 780 660- when a company produces and sells x units of an item. (a) Find formulas for each line. (b) Find the break-even quantity. (c) Give the cost to the company to produce each item. (d) Give the unit price of each item to the consumer. 390- 120 15 30 45 60 -120 (a) Find formulas for each line. P(x) = (Report the equation of the red dashed graph. Your answer contains real numbers and the variable x.) R(x) (Report the equation of the black dot-dashed graph. Your answer contains real numbers and the variable x.) C(x) = (Report the equation of the blue solid graph. Your answer contains real numbers and the variable x.) (b) How many quantities must be produced for the company to break even? The break-even quantity is the number of units that are sold for revenue to equal costs. They must sell Number units in order to break even. (c) How much does it cost the company to produce each item? $ Number per unit. (d) At what price does the company sell each item to the consumer? $ Number per unit.
Transcribed Image Text:The graph to the right shows the profit, P(x), given by the red dashed line, the revenue R(x), given by the black dot-dashed line, and the production cost, C(x), given by the blue solid line, 780 660- when a company produces and sells x units of an item. (a) Find formulas for each line. (b) Find the break-even quantity. (c) Give the cost to the company to produce each item. (d) Give the unit price of each item to the consumer. 390- 120 15 30 45 60 -120 (a) Find formulas for each line. P(x) = (Report the equation of the red dashed graph. Your answer contains real numbers and the variable x.) R(x) (Report the equation of the black dot-dashed graph. Your answer contains real numbers and the variable x.) C(x) = (Report the equation of the blue solid graph. Your answer contains real numbers and the variable x.) (b) How many quantities must be produced for the company to break even? The break-even quantity is the number of units that are sold for revenue to equal costs. They must sell Number units in order to break even. (c) How much does it cost the company to produce each item? $ Number per unit. (d) At what price does the company sell each item to the consumer? $ Number per unit.
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