Astart up publishing company estimates that the fixed costs of its first major project will be $190,000, the variable cost will be $18, and the selling price per book will be $34. a.) how many books must be sold for this project to break even? b.) suppose the publishers wish to take a total of $40,000 in salary for this project. how many books must be sold to break even, and what is the break-even point, in dollars?

Solution:

we are given that

Fixed cost=$190,000.

Variable cost = $18.

selling price per book =$34.

(A)

For break even , let the number of books required to sell be x

Then we can write

Hence the number of books required to sell is 11875 for break even.

(B)

For break even , let the number of books required to sell be x

Then we can write

Hence the number of books required to sell is 14375 for break even.

Break even points in dollar is 14375x34=$488750.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

c. 6tan80

step-by-step explanation: