JamTime Music Company manufactures two types of headsets: a basic model and a professional model.In order to manufacture the headsets,they go through two departments: assembly and testing.The assembly department has 9 workers who work 8 hours/day each.The testing department has 3 workers who also work 8 hours/day each.Each basic headset model spends 3 hours in the assembly department and 1.5 hours in the testing department.Each professional headset model spends 5 hours in the assembly department and 3 hours in the testing department.The company makes a net profit of $100 for each basic headset and $175 for each professional headset.JamTime Music Co.predicts that they will sell at least two times as many basic models as professional models.Using this information,determine the objective function to maximize profit.Use the variable B for the number of basic model headsets and P for the number of professional model headsets.
A) 5B + 3P
B) 3B + 5P
C) 100B + 175P
D) 175B + 100P

Question

Quizplus · Accepted Answer

The objective function is the total profit, which is the sum of the profit from each type of headset. The profit from each basic headset is $100, and the profit from each professional headset is $175. The number of basic headsets is B, and the number of professional headsets is P. Therefore, the objective function is 100B + 175P.

JamTime Music Company Manufactures Two Types of Headsets: a Basic