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.What is the assembly time constraint (in hours)?
A) 1 A + 1 B ≤ 800
B) 0.25 A + 0.5 B ≤ 800
C) 0.5 A + 0.25 B ≤ 800
D) 1 A + 0.5 B ≤ 800
E) 0.25 A + 1 B ≤ 800

Question

Quizplus · Accepted Answer

The assembly time constraint limits the maximum number of hours available for production. The total number of hours required to produce A calculators is 0.25A, and the total number of hours required to produce B calculators is 0.5B. Thus, the assembly time constraint can be expressed as 0.25A + 0.5B ≤ 800. Therefore, the correct answer is B.

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