Consider the following marginal cost function. a. find the additional cost incurred in dollars when production is increased from 100 units to 150 units. b. find the additional cost incurred in dollars when production is increased from 500 units to 550 units. c′(x)=4000−0.4x
Answers: 3
![\int^{150}_{100}\ C'(x)\ dx\\\\=\int^{150}_{100} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{150}_{100}\\\\=[4000(150)-\dfrac{0.4(150)^2}{2}-4000(100)+\dfrac{0.4(100)^2}{2}]\\\\=[600000-4500-400000+2000]\\\\=197500](/tpl/images/0227/4640/cd97d.png)
![\int^{550}_{500}\ C'(x)\ dx\\\\=\int^{550}_{500} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{550}_{500}\\\\=[4000(550)-\dfrac{0.4(550)^2}{2}-4000(500)+\dfrac{0.4(500)^2}{2}]\\\\=[2200000-60500-2000000+50000]\\\\=189,500](/tpl/images/0227/4640/fc2e7.png)
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Consider the following marginal cost function. a. find the additional cost incurred in dollars when...
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