Mahmut S. answered • 07/17/21
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Revenue = (price per unit) . (number of units)
Revenue = (120 - 0.5x) . (100 + x)
= 12000 + 120x - 50x - 0.5x2
= -0.5x2 +70x +12000
R(x) = -0.5x2 +70x +12000
R'(x) = -x +70 = 0; x= 70
Price per unit is 120 - 0.5*70 = $85
Tour group size is 100 +70 =170
I hope that helps
Mahmut S.
R'(x) is derivation of R(x)
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07/17/21
Mahmut S.
There is an easy way to find it -0.5x^2 becomes 2*-0.5x 70x becomes 1*70 when you do derivation hope that helps
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07/17/21
Mahmut S.
There is an easy way to find it -0.5x^2 becomes 2*-0.5x 70x becomes 1*70 when you do derivation hope that helps
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07/17/21
Mahmut S.
Answer box does not let me to separate the steps There is an easy way to find it -0.5x^2 becomes 2*-0.5x; 70x becomes 1*70 when you do derivation. hope that helps
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07/17/21
Mahmut S.
Oh, by the way, if you need detailed explanation please let me know. I am glad to help
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07/17/21
Holly G.
How did you get from R(x) = -0.5x2 +70x +12000 to R'(x) = -x +70 = 0; x= 70 ?07/17/21