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Do you know how to solve this problem? Details below Thank you so much for all your help! 7. A company has found that its

Do you know how to solve this problem? Details below

Thank you so much for all your help!

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7. A company has found that its weekly profit from the sale of x units of an auto part is given by P(x) = -0.02x3 + 600x - 20000. Production bottlenecks limit the number of units that can be made per week to no more than 150, while a long term contract requires that at least 50 units be made each week. Find the maximum possible weekly profit that the firm can make and the number of units that produce that maximum profit. 5pts

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