For the cost and price functions? below, find ?(?a) the? number, q, of units that produces...

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For the cost and price functions? below, find

?(?a) the? number, q, of units that produces maximum?profit;

?(?b) the? price, p, in dollars per unit that produces maximum?profit; and

?(?c) the maximum? profit, P, in dollars.

C(q)=100+20qe^-0.01q ; p=60e^-0.01q

?(a) The? number, q, of units that produces maximum profit is$__

?(Do not round until the final answer. Then round to the nearestwhole number as? needed.)

?(b) The? price, p, per unit that produces maximum profit is$__

?(Do not round until the final answer. Then round to the nearestcent as? needed.)

?(c) The maximum profit is $__

?(Do not round until the final answer. Then round to the nearestcent as? needed.)

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