Suppose you’ve designed two versions of your system (herein called “product A” and “product B”). The estimated profit for product A is $0.75 per unit and for product B is $0.65 per unit. To manufacture these products at your company, you’ll need to compete for internal resources. To manufacture a single unit of product A requires 5.0 minutes of machining, 2.5 minutes at a soldering station, and 1.5 minutes for final software testing. Product B requires 3.0 minutes of machining, 4.0 minutes at the soldering station and 2.0 minutes of software testing. The capacity of the machining department is 1,200 minutes per week, capacity of the soldering station is 800 minutes per week, and capacity of final software testing is 600 minutes per week. 1. To maximize profits based on the given constraints, how many of product A should be made per week? 2. To maximize profits based on the given constraints, how many of product B should be made per week? 3. What is the maximum profit when the optimum quantities are produced?
Suppose you’ve designed two versions of your system (herein called “product A” and “product B”). The estimated profit for product A is $0.75 per unit and for product B is $0.65 per unit. To manufacture these products at your company, you’ll need to compete for internal resources.
To manufacture a single unit of product A requires 5.0 minutes of machining, 2.5 minutes at a soldering station, and 1.5 minutes for final software testing.
Product B requires 3.0 minutes of machining, 4.0 minutes at the soldering station and 2.0 minutes of software testing.
The capacity of the machining department is 1,200 minutes per week, capacity of the soldering station is 800 minutes per week, and capacity of final software testing is 600 minutes per week.
1. To maximize profits based on the given constraints, how many of product A should be made per week?
2. To maximize profits based on the given constraints, how many of product B should be made per week?
3. What is the maximum profit when the optimum quantities are produced?
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