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A firm will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items produced and sold) where C(x) =R(x) is called the break-even point. Assume that the below table can be expressed as a linear function. Find (a) the cost function, (b) the revenue function, and (c) the profit function. (d) Find the break-even point and decide whether the product should be produced, given the restrictions on sales. Price of item $25 According to the restriction, no more than 26 units can be sold. Fixed cost Variable cost $450 $10 (a) The cost function is C(x) =. (Simplify your answer.) (b) The revenue function is R(x) =. (Simplify your answer.) (c) The profit function is P(x) = (Simplify your answer.) (d) Select the correct choice below and fill in the answer box within your choice. (Type a whole number.) O A. The break-even point is units. Thus, the product should be produced, given the restriction on sales. O B. The break-even point is units. Thus, the product should not be produced, given the restriction on sales.

A firm will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items produced and sold) where C(x) =R(x) is called the break-even point. Assume that the below table can be expressed as a linear function. Find (a) the cost function, (b) the revenue function, and (c) the profit function. (d) Find the break-even point and decide whether the product should be produced, given the restrictions on sales. Price of item $25 According to the restriction, no more than 26 units can be sold. Fixed cost Variable cost $450 $10 (a) The cost function is C(x) =. (Simplify your answer.) (b) The revenue function is R(x) =. (Simplify your answer.) (c) The profit function is P(x) = (Simplify your answer.) (d) Select the correct choice below and fill in the answer box within your choice. (Type a whole number.) O A. The break-even point is units. Thus, the product should be produced, given the restriction on sales. O B. The break-even point is units. Thus, the product should not be produced, given the restriction on sales.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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A firm will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items produced and sold) where C(x) R(x) is called the break-even point. Assume that the below table can be expressed as a linear function. Find (a) the cost function, (b) the revenue function, and (c) the profit function. (d) Find the break-even point and decide whether the product should be produced, given the restrictions on sales. 10 Fixed cost Variable cost Price of item Te $450 $10 $25 According to the restriction, no more than 26 units can be sold. (a) The cost function is C(x) D %3D (Simplify your answer.) (b) The revenue function is R(x) = (Simplify your answer.) (c) The profit function is P(x) = 16 65 (Simplify your answer.) (d) Select the correct choice below and fill in the answer box within your choice. (Type a whole number.) O A. The break-even point is units. Thus, the product should be produced, given the restriction on sales. O B. The break-even point is units. Thus, the product should not be produced, given the restriction on sales.
Transcribed Image Text:A firm will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items produced and sold) where C(x) R(x) is called the break-even point. Assume that the below table can be expressed as a linear function. Find (a) the cost function, (b) the revenue function, and (c) the profit function. (d) Find the break-even point and decide whether the product should be produced, given the restrictions on sales. 10 Fixed cost Variable cost Price of item Te $450 $10 $25 According to the restriction, no more than 26 units can be sold. (a) The cost function is C(x) D %3D (Simplify your answer.) (b) The revenue function is R(x) = (Simplify your answer.) (c) The profit function is P(x) = 16 65 (Simplify your answer.) (d) Select the correct choice below and fill in the answer box within your choice. (Type a whole number.) O A. The break-even point is units. Thus, the product should be produced, given the restriction on sales. O B. The break-even point is units. Thus, the product should not be produced, given the restriction on sales.
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