A large wood products company is negotiating a contract to sell plywood overseas. The fixed cost of the company which can be allocated to the production of the plywood is $1,000,000 per month. The variable cost per thousand board feet is $131.50. Price charged will be determined by p = $700 – (0.05)D per 1000 board feet. Solve, a. For this situation, determine the optimal monthly sales volume for this product and calculate the profit (or loss) at the optimal volume. b. What is the range of profitable demand during a month?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 159E: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The...
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A large wood products company is negotiating a contract to sell plywood overseas. The fixed cost of the company which can be allocated to the production of the plywood is $1,000,000 per month. The variable cost per thousand board feet is $131.50. Price charged will be determined by p = $700 – (0.05)D per 1000 board feet. Solve, a. For this situation, determine the optimal monthly sales volume for this product and calculate the profit (or loss) at the optimal volume. b. What is the range of profitable demand during a month?

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