Based upon market research, the Hawthorne Company has determined that consumers are willing to purchase 101 units of their portable media player each week when the price is set at $150.00 per unit. At a unit price of $32.40, consumers are willing to buy 395 units per week.(d) Determine the number of units consumers will demand weekly when the revenue is maximized. units(e) Determine the price of each unit when the revenue is maximized. dollars

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Asked Sep 6, 2019
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Based upon market research, the Hawthorne Company has determined that consumers are willing to purchase 101 units of their portable media player each week when the price is set at $150.00 per unit. At a unit price of $32.40, consumers are willing to buy 395 units per week.

(d) Determine the number of units consumers will demand weekly when the revenue is maximized.
 units

(e) Determine the price of each unit when the revenue is maximized.
 dollars

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Expert Answer

Step 1

d. Revenue: R(x)= -0.4x^2+ 190.4x

We revenue is maximi...

R(x)-0.4x2190.4x
dR
=-0.4(2x)+190.4
dx
0=0.8x+190.4
0.8x-190.4
190.4
X=
0.8
x-238
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R(x)-0.4x2190.4x dR =-0.4(2x)+190.4 dx 0=0.8x+190.4 0.8x-190.4 190.4 X= 0.8 x-238

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