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.For the production combination of 1,400 A-100's and 900 B-200's,which resource is "slack" (not fully used)?
A)Circuit boards (only)
B)Assembly time (only)
C)Both circuit boards and assembly time
D)Neither circuit boards nor assembly time
E)Cannot be determined exactly

Question

Quizplus · Accepted Answer

Assembly time is fully utilized because 1,400 A-100's require 350 hours (1,400 * 0.25) and 900 B-200's require 450 hours (900 * 0.5), totaling exactly 800 hours. However, only 2,300 circuit boards (1,400 + 900) are used out of the 2,500 available, leaving 200 circuit boards as the "slack" resource.

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