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-100's this week and a maximum of 1,000 B-200's.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 & 0 B
B)0 A & 1,000 B
C)1,800 A & 700 B
D)2,500 A & 0 B
E)100 A & 1,600 B

Question

Quizplus · Accepted Answer

The combination in E is not feasible because it exceeds the available circuit boards and assembly time. The company has only 2,500 circuit boards and 800 hours of assembly time. Producing 100 A-100s requires 25 hours (100 * 0.25) and 1,600 B-200s requires 800 hours (1,600 * 0.5), which exceeds the 800-hour limit. Additionally, the total number of calculators (1,700) exceeds the 2,500 circuit board limit.

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