Linear Programming : Maximizing Profit
The Outdoor Furniture Corporation manufactures two products, benches and picnic tables, for use in yards and parks. The firm has two main resources: its carpenters (labor force) and a supply of redwood for use in the furniture. During the next production cycle, 1,200 hours of labor are available under a union agreement. The firm also has a stock of 3,500 feet of good-quality redwood. Each bench that Outdoor Furniture produces requires 4 labor hours and 10 feet of redwood; each picnic table takes 6 labor hours and 35 feet of redwood. Completed benches will yield a profit of $9 each, and table will result in a profit of $20 each. How many benches and table should Outdoor Furniture produce to obtain the largest possible profit?
Profit is maximized using linear programming. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.
- Plain text response
- Your Information is Secure
- Best Online Academic Help Service
- Students find real academic Success
- Profit Function and Maximum Profit - A manufacturer finds that the total profit from producing and selling Q units of a product is given by the profit function: Total Profit = f(Q) = - 460 + 100Q - Q^2 1. Compu ...
- Profit Functions and Maximum Profit - revenue is R(x)=1000x-x^2 cost =2450+45x construct the profit function p(x)_________________ how many units will maximize the profit? Units:____ what is the maximum profit? ______________
- Finding Profit - Sharon's revenue R (in dollars) on the sale of x fruitcakes is determined by the formula R = 50x - x^2. Her cost C (in dollars) for producing x fruitcakes is given by the formula C = 2x +40. For what ...
- Cost Function : Maximum Profit - If a chain store manager has been told by the main office that daily profit, "P", is related to the number of clerks working that day, x, according to the equation P = -25x^2 + 300x. What number of c ...
- Profit - Profit. Karla Harby Communications, a small company of science writers, found that its rate of profit (in thousands of dollars) after t years of operation is given by the function P'(t)=(3t + 3) cub ...
