Samson Electronics assembles and then tests two models of notebook computers, FLEX and ION. For the coming month, the company wants to decide how many of each model to assemble and then test. No computers are in inventory from the previous month, and because the models are going to be changed after this month, the company doesn’t want to hold any inventory after this month. It believes the most it can sell this month are 600 FLEXs and 1,200 IONs. Each FLEX sells for $300 and each ION sells for $450. The cost of component parts for a FLEX is $150; for an ION it is $225. Labor is required for assembly and testing. There are at most 10,000 assembly hours and 3,000 testing hours available. Each labor hour for assembling costs $11 and each labor hour for testing costs $15. Each FLEX requires five hours for assembling and one hour for testing, and each ION requires six hours for assembling and two hours for testing. Samson Electronics want to know how many of each model it should produce (assemble and test) to maximize its net profit, but it cannot use more labor hours than are available, and it does not want to produce more than it can sell. a. Formulate a linear programming model for this problem algebraically. b. Use the graphical method to solve this model. c. Formulate and solve this model on a spreadshee
Samson Electronics assembles and then tests
two models of notebook computers, FLEX
and ION. For the coming month, the
company wants to decide how many of
each model to assemble and then test. No
computers are in inventory from the
previous month, and because the models
are going to be changed after this month,
the company doesn’t want to hold any
inventory after this month. It believes the
most it can sell this month are 600 FLEXs
and 1,200 IONs. Each FLEX sells for $300
and each ION sells for $450. The cost of component parts for a FLEX is $150; for an ION it is $225. Labor
is required for assembly and testing. There are at most 10,000 assembly hours and 3,000 testing hours
available. Each labor hour for assembling costs $11 and each labor hour for testing costs $15. Each FLEX
requires five hours for assembling and one hour for testing, and each ION requires six hours for
assembling and two hours for testing. Samson Electronics want to know how many of each model it
should produce (assemble and test) to maximize its net profit, but it cannot use more labor hours than
are available, and it does not want to produce more than it can sell.
a. Formulate a linear programming model for this problem algebraically.
b. Use the graphical method to solve this model.
c. Formulate and solve this model on a spreadshee
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