Question

Cabinet X costs $60, requires 10 sqft of floor space and holds 20 cu ft offles Cabinet Y costs $105, requires 4 sqft of floor space, and holds 12 cu ft To get maximum storage, how many of each should be purchased with a budget limit of $945 and floor space of 90 sqft? The manager should buy of cabinet X and of cabinet (If two possibilities provide maximum storage, use the option that involves buying at least one of cabinet X and at least one of cabinet Y)

Answer 1

Answer Cabinet X $60 10 s9 ft 20 cu ft Cabinet y $ 105 4 sq ft 12 cu ft total area go ft² total budget =$gus assume we purchase no af Rabinet X nos af cabinet y so how lo a + 4b = 90 - 00 {area } boat.105 b = 9us { total budget)

now of 2 - Pg (1) X6 600 t 105b - 945 6x 10a + bxub 6xgo boa + los b = 945 600 t zu b - 540 O 81 b = 405 5 - 4ος b = 5 Toa go-4X5 loa = 70 la = 7 ) The manager should buy z af Cabinet x e 5 af of cabinet y

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