P(x) = -0.002x^2 + 20x + c
Since P'(0) = 20, and there are fixed costs of 16000, c must be 16020.
Better check my logic against what your text says.
Im so lost on this...
Cannon Precision Instruments makes an automatic electronic flash. The estimated marginal profit associated with producing and selling theses electronic flashes is 𝑃′(𝑥𝑥) = −0.004𝑥+ 20 dollars per unit per month when the production level is 𝑥𝑥units per month. Cannon’s fixed cost for producing and selling these electronic flashes is $16,000/month. What is the maximum monthly profit when selling these electronic flashes? Round your answer to the nearest whole number and justify your solution by showing the appropriate Calculus work.
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