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Because of material shortages, it is increasingly expensive to produce 6.2L dies

ID: 3214266 • Letter: B

Question

Because of material shortages, it is increasingly expensive to produce 6.2L diesel engines. In fact, the profit in millions of dollars from producing x hundred thousand engines is approximated by P(x) = 8x3 - 2/3x4 +1000, where 0 le x le 12. Determine where the point of diminishing returns occurs and the maximum rate of change of profit at this point. point of diminishing returns at 600,000 engines, and profit is not changing point of diminishing returns at 10,000 engines, and profit is increasing at rate 3,916 million dollars per hundred thousand engines point of diminishing returns at 800,000 engines, and profit is increasing at rate 2,365 million dollars per hundred thousand engines point of diminishing returns at 600,000 engines, and profit is increasing at rate 1,864 million dollars per hundred thousand engines None of the above.

Explanation / Answer

diffrentiate: 24x2 - 8x3/3 put it equal to 0: 24 - 8x/3 = 0 =>3 - x/3 = 0 => x = 9 rate of change of profit: 48x - 8x2 = 0 => 48 - 8x = 0 => x = 6 rate = 288 HENCE ANSWER IS D PLEASE RATE ME...