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The marginal cost MC(q) of a firm is given by the following function: MC(q) = (3q2 + 2) (q3 + 2q +9) where q

 

The marginal cost MC(q) of a firm is given by the following function: MC(q) = (3q2 + 2) (q3 + 2q +9) where q is the number of units produced and the fixed costs to the company is known to be $1,018.00. compute the difference in total costs if the firm wishes to produce between 5 and 10 units of output. [10] marks b. ABC Limited manufactures bicycles for which the firm sells both locally and in the Caribbean region. The total revenue function of the firm is given by R(q) = 11,000q - 7.5q2 + 60 and the variable cost to produce one bicycle is given by the function VC(q) = 4q2 - 10q +350 while the fixed cost is $126 where q is the number of bicycles produced. What will be the output of bicycles required to maximize the firm's profit?

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