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 profit and corresponsding price. Dettermine also the corresponding maximum profit per month. A) For maximum profit, (to the nearest unit) thousands of board feet per month must be produced and sold at per thousand board feet of plywood.(Round to the nearest cent.) B) The maximum profit per month is equal to $
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 profit and corresponsding price. Dettermine also the corresponding maximum profit per month.
A) For maximum profit, (to the nearest unit) thousands of board feet per month must be produced and sold at per thousand board feet of plywood.(Round to the nearest cent.)
B) The maximum profit per month is equal to $
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
