Loading...
GRE
GRE Quantitative Reasoning Section

Maximizing Fractional Production Costs

Very Hard Arithmetic Fractions, Decimals, And Percents

A manufacturer produces two types of machines, A and B. The costs of production for each machine are as follows:

Machine A: Each machine costs $400 to produce, and the selling price is $500.

Machine B: Each machine costs $600 to produce, and the selling price is $750.

The total production budget for the month is $60,000. The manufacturer plans to allocate the budget such that the number of machines produced must satisfy the following conditions:

  1. The total number of machines produced (A + B) must not exceed 130.
  2. The total cost for producing machines A and B combined must not exceed the budget of $60,000.

What is the maximum percent of the total budget that can be spent on producing Machine A if the manufacturer produces the maximum number of machines?

Hint

Submitted18.3K
Correct10.0K
% Correct55%