Ms. Sanders, an analyst at Multi-Fastener Corp, has developed a model to forecas

Question

Ms. Sanders, an analyst at Multi-Fastener Corp, has developed a model to forecast the company's total production of metal fasteners Under this model, production, P, is equal to 4200 times the man-hours spent producing machine screws plus 3000 times the man-hours spent producing nuts and bolts. Manpower constraints mean that total namber of man-bours per year not exceed 44,000, logically, the number of man-hours assigned to either task cannot be negative. Express the model in mathematical form 5. [A] P-4200S+3000 [B] P 4200S+3000B S+B s 44,000 S20 S+B S 44,000-(4200+3000) S20 C] P-3000S+42008 D] P- 3000S+4200B S+ B s 44,000-(4200+3000) S+ Bs 44,000 S20 B20

Explanation / Answer

production P is equal to 4200 times the man hours spent + 3000 times the man hour spent producing nuts and bolts

P = 4200 S + 3000 B

total number of man hours should not exceed 44000

S+B <= 44000

S >= 0

B >= 0

option a is correct

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