An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same)circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours)each, and the B-200 requires 30 minutes (.5 hours)each to produce. The firm forecasts that it could sell a maximum of 4,000 A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. Which of the following is not a feasible production/sales combination?
A)0 A and 0 B
B)0 A and 1,000 B
C)1,800 A and 700 B
D)2,500 A and 0 B
E)100 A and 1,600 B

Question

Quizplus · Accepted Answer

Option E is not feasible because producing 100 A-100s and 1,600 B-200s would require more circuit boards than are available. Each calculator requires one circuit board, so this combination would need 1,700 circuit boards, exceeding the 2,500 available. Additionally, the assembly time for 1,600 B-200s alone would exceed the 800 hours available for production.

An Electronics Firm Produces Two Models of Pocket Calculators: the A-100