A chicken farmer can produce one crate of eggs at a cost of $9.86, and can sell that crate for $34.24. If the farmer has a starting overhead cost of $7,312, not including production costs, how many crates must be sold in order to
realize a profit of $11,300, to the nearest crate?
a 164
b. 330
C. 463
d. 763

763 Crates

Step-by-step explanation:

Production cost of one crate of eggs = $9.86

selling cost of one crate of eggs = $34.24

Overhead expenses = $7,312

We have to calculate number of crates sold to generate the profit of $11,300.

Let number of crates sold = x

cost of production of x crates = 9.86x

selling price of x crates = 34.24x

Total profit = (selling price - cost price) - overhead expenses.

11,300 = (34.24x - 9.86x) - 7,312

11,300 = 24.38x - 7,312

11,300 + 7,312 = 24.38x

18,612 = 24.38x

x = 763 crates

763 crates must be sold in order to realize a profit of $11,300.