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Finite Mathematics and Calculus with Applications(7th Edition)by Lial, Greenwell, and RitcheySection 1.2- Linear Functions and Applications13. Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed cost: $400; 10 items cost $650 to produce. where is the marginal cost and is the fixed cost. Therefore . Since 10 items cost $, and the linear cost function is 23. Enrique Gonzales owns a small publishing house specializing in Latin American poetry. His fixed cost to produce a typical poetry volume is $525, and his total cost to produce 1000 copies of the book is $2675. His books sell for $4.95 each. a) Find the linear cost function for Enrique's book production. The fixed cost is $525. Therefore . Since 1000 copies cost $2675, Therefore b) How many poetry books must he produce and sell in order to break even? The break even point is when cost is equal to revenue. Since each book sells for $4.95, revenue is given by and the break even point occurs when Therefore he must produce and sell 188 books. c) How many books must he produce and sell to make a profit of $1000? Therefore He must sell 545 books. 27. Producing units of tacos costs revenue is where and are in dollars. a) What is the break-even quantity? b) What is the profit from 100 units? c) How many units will produce a profit of $500? To find the break-even quantity, set and solve for The break-even quantity is 2 units. Profit is given by The profit from 100 units is $980 . If we want a profit of $500 then Therefore 52 units will produce a profit of $500