A factory can sell all the books it produces at the selling price of $60 each. It costs the factory

[Mikrislac]

A factory can sell all the books it produces at the selling price of $60 each. It costs the factory $40 in materials and labor to produce each item and an additional amount of overhead expenses of $3000 per week to operate the factory. What is the number of books that the factory must produce and sell so that it can make a profit of at least $1000 per week?

(A) 200

(B) 250

(C) 300

(D) 350

(E) 400

[Scott@TargetTestPrep]

A factory can sell all the books it produces at the selling price of $60 each. It costs the factory $40 in materials and labor to produce each item and an additional amount of overhead expenses of $3000 per week to operate the factory. What is the number of books that the factory must produce and sell so that it can make a profit of at least $1000 per week?

(A) 200

(B) 250

(C) 300

(D) 350

(E) 400

Solution:

Since Revenue - Cost = Profit and we want Profit ≥ 1000, we can create the inequality

Revenue - Cost ≥ 1000

60x - (40x + 3000) ≥ 1000

20x - 3000 ≥ 1000

20x ≥ 4000

x ≥ 200

Answer: A