Maximize Profit A tent manufacturer makes a two-person

Chapter , Problem 6.6.24

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Maximize Profit A tent manufacturer makes a two-person tent and a family tent. Each type of tent requires time in the cutting room and time in the assembly room, as indicated below. A two-person tent requires 2 hours in the cutting room 2 hours in the assembly room A family tent requires2 hours in the cutting room4 hours in the assembly roomThe total number of hours available per week in the cuttingroom is 50. There are 80 hours available per week in the assemblyroom. The manager requires that the number of two-persontents manufactured be no more than four times the number offamily tents manufactured. The profit for the two-person tent is$34, and the profit for the family tent is $49. Assuming that allthe tents produced can be sold, how many of each should bemanufactured per week to maximize the profit? What is themaximum profit?

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