Winkler Furniture manufactures two different types of china cabinets: a French provincial model and a Danish...

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Winkler Furniture manufactures two different types of chinacabinets: a French provincial model and a Danish Modern model. Eachcabinet produced must go through three departments: carpentry,painting, and finishing. The table below contains all relevantinformation concerning production times per cabinet produced andproduction capacities for each operation per day, along with netrevenue per unit produced. The firm has a contract with an Indianadistributor to produce a minimum of 300 of each cabinet per week(or 60 cabinets per day). Owner Bob Winkler would like to determinea product mix to maximize his daily revenue.
Formulate as an LP problem and obtain therevenue
Bob Winkler wants to add this requirment to his production policy:To produce at least as many French Provencial cabinets as DanishModern.
How many French Provencial and Danish Modern Cabinets should Bobproduce?
What is the impact on revenue of the solution in part d compared tothe result in part c?

Cabinet Style Carpentry (hours/cabinet) Painting (hours/cabinet) Finishing (hours/cabinet) Net revenue/cabinet ($)
French Provincial 3 1.5 0.75 28
Danish Modern 2 1 0.75 25
Department Capacity (hours) 360 200 125

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Let X1 the number of French Provincial cabinets produced each day Let X2 the number of Danish Modern cabinets produced each day Formulating LP problem Maximize 28X1 25X2 maximize revenue Subject to 3X1 2X2 360 See Answer

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Cabinet Style	Carpentry (hours/cabinet)	Painting (hours/cabinet)	Finishing (hours/cabinet)	Net revenue/cabinet ($)
French Provincial	3	1.5	0.75	28
Danish Modern	2	1	0.75	25
Department Capacity (hours)	360	200	125