1. The Notip Table Company sells two models of its patented five-leg tables. The basic version...

1. The Notip Table Company sells two models of its patented five-leg tables. The basic version uses a wood top, requires 0.6 hours to assemble and sells for a profit of $200. The deluxe model takes 1.5 hours to assemble because of its glass top, and sells for a profit of $350. Over the next week the company has 300 legs, 50 wood tops, 35 glass tops, and 63 hours of assembly available. Notip wishes to determine a maximum profit production plan assuming that everything produced can be sold. a. Formulate a mathematical model. Solve the model. b. Using a two-dimensional plot, solve your model graphically for an optimal product mix. c. Redo the model if the profits for the two types of tables are changed to $120 and $300 respectively.

Solutions

Expert Solution

a) Mathematical model is following

b) Solution using graphical method is following

Optimal solution: X = Y = 30

Total profit = 200*30+350*30 = $ 16,500

c) Solution of the revised model is following

keosha answered 1 year ago

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