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uppose a company has fixed costs of $1800 and variable costs per unit of x- + 1510 dollars, where x is the total number of units produced. Suppose further that the selling price of its pro (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = (b) Form the profit function P(x) from the cost and revenue functions. P(x) = (c) Find the profit when the selling price is $1,594.38. Round units and profit to the nearest whole number. $

uppose a company has fixed costs of $1800 and variable costs per unit of x- + 1510 dollars, where x is the total number of units produced. Suppose further that the selling price of its pro (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = (b) Form the profit function P(x) from the cost and revenue functions. P(x) = (c) Find the profit when the selling price is $1,594.38. Round units and profit to the nearest whole number. $

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose a company has fixed costs of $1800 and variable costs per unit of x + 1510 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1600- - dollars per unit. 8 (a) Find the break-even points. (Enter your answers as a comma-separated list.) X = (b) Form the profit function P(x) from the cost and revenue functions. P(x) = (c) Find the profit when the selling price is $1,594.38. Round units and profit to the nearest whole number. $
Transcribed Image Text:Suppose a company has fixed costs of $1800 and variable costs per unit of x + 1510 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1600- - dollars per unit. 8 (a) Find the break-even points. (Enter your answers as a comma-separated list.) X = (b) Form the profit function P(x) from the cost and revenue functions. P(x) = (c) Find the profit when the selling price is $1,594.38. Round units and profit to the nearest whole number. $
Expert Solution
Step 1

Given fixed cost is $1800.

The variable cost is given by 78x+1510x where x is the total number of units produced. 

Selling price of the product is 1600-18x per unit.

The total cost is given as sum of fixed cost and variable cost.

Therefore total cost =1800+78x+1510x.

Also total revenue is given by product of selling price of one unit by number of units.

Therefore total revenue =1600-18xx.

 

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