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3 years ago

A furniture cabinet maker produces two types of cabinets that house and hide plasma televisions. The Mission-style

Business

1 answer:

oee [108]3 years ago

8 0

Answer:

The maximum profit is $72,800 with 80 cabinets of Mission-style and no cabinets of Rustic-style to be used

Explanation:

Let the furniture cabinet maker produce x Mission-style cabinets and y Rustic-style cabinets

Objective function: Maximize profits

Profit yielded by a Mission-style cabinet = $910

Profit yielded by x Mission-style cabinets = $910 * (x)

Profit yielded by a Rustic-style cabinet = $1200

Profit yielded by y Rustic-style cabinet = $1200 * (y)

Objective function: Max (910x + 1200y)

Subjected to Constraints

Labor Hours: No of hours required to produce a Mission-style cabinet =15

No of hours required to produce a Rustic-style cabinet =20

Total Labor Hours = 1200

Constraint 1) 15*(x) + 20*(y) = 1200

Budget = $30,000

Cost of materials for a Mission-style cabinet =$340

Cost of materials for a Rustic-style cabinet =$430

Constraint 2) 340*(x) + 430*(y) <= 30000

Constraint 3) x and y >= 0

Put these constraints in Excel solver, we obtain the maximum profit as $72,800 with 80 cabinets of Mission-style and no cabinets of Rustic-style to be used

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