A certain company has fixed costs of $15,000 for its product and variable costs given by 140

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A certain company has fixed costs of $15,000 for its product and variable costs given by 140 + 0.04x dollars per unit, where x is the total number of units. The selling price of the product is given by 300 - 0.06x dollars per unit.

(a) Formulate the functions for total cost and total revenue.

(b) Find the break-even quantities.

(c) Find the level of sales that maximizes revenue.

(d) Form the profit function and find the level of production and sales that maximizes profit.

(e) Find the profit (or loss) at the production levels found in parts (c) and (d)?

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