A factory manager is planning for the manufacture of plywood to be sold overseas. The fixed cost of operation is estimated at​$800,000 per month while the variable cost is​ $155 per thousand board feet of plywood. The selling price will depend on how much will be produced and sold and is determined by the​ relationship, price per thousand board​ feet, p​ = $600​ – 0.05D, where D is the amount produced and sold in thousands of board feet. Determine the monthly production that will maximize the total revenue and calculate the corresponding total profit per month. Determine also the corresponding average production cost per thousand board feet of plywood at this level of production.

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A factory manager is planning for the manufacture of plywood to be sold overseas. The fixed cost of operation is estimated at​$800,000 per month while the variable cost is​ $155 per thousand board feet of plywood. The selling price will depend on how much will be produced and sold and is determined by the​ relationship, price per thousand board​ feet, p​ = $600​ – 0.05D, where D is the amount produced and sold in thousands of board feet. Determine the monthly production that will maximize the total revenue and calculate the corresponding total profit per month. Determine also the corresponding average production cost per thousand board feet of plywood at this level of production.

For maximum​ revenue, ​(to the nearest​ unit) thousands of board feet per month must be produced and the corresponding monthly profit is equal to ​$ ​(Round to the nearest​ dollar.)At this production​ level, the price per thousand board feet is​ $ (Round to the nearest​ cent), and The average cost of production per thousand board feet is ​$ ​(Round to the nearest​ cent)

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