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In: Statistics and Probability

  A furniture manufacturer produces two types of display cabinets Type A and Type B Each month...

  A furniture manufacturer produces two types of display cabinets Type A and Type B Each month x of type A and y of type B are produced. Profit on type A is 300SR and profit on type B is 150SR. The following constraints control monthly production :

(i)              Not more than 50 display cabinets of type A and 40 display cabinets of type B can be made

(ii)            To show a profit at least 60 display cabinets in all must be made.

(iii)           The maximum number of display cabinets that can be produced is 80.

How many display cabinets of type A must be produced per month to maximize the profit:

80

50

30

40

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