How each product to minimize cost

Assignment Help Mathematics

Reference no: EM13203273

Cauchy Canners produces canned whole tomatoes and tomato sauce. This season, the company has available 3,000,000 kg of tomatoes for these two products. To meet the demands of regular customers, it must produce at least 80,000 kg of sauce and 800,000 kg of whole tomatoes. The cost per kilogram is $4 to produce canned whole tomatoes and $3.25 to produce tomato sauce. Labor agreements require that at least 110,000 person hours be used. Each kilogram can of sauce requires 3 minutes for one worker, and each kilogram can of whole tomatoes requires 6 minutes for one worker. How many kilograms of tomatoes should Cauchy use for each product to minimize cost? (For simplicity, assume production of y1 kg of canned whole tomatoes and y2 kg of tomato sauce requires y1 + y2 kg of tomatoes.)

Reference no: EM13203273

Questions Cloud

Find the dimensions of the garden that minimize the cost : A landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $30/ft and on the other three sides by a metal fence costing $20/ft. If the area of the garden is 1,500 ft2, find the dimensions of the garden that mi..

What is the output of each firm if they collude to produce : Once again, assume Cournot competition in an industry in which market demand is described by P = 260 - 2Q and in which each firm has a marginal cost of 20. However, instead of two firms, let there now be four. a. What is the one-period Nash equilibri..

Calculate the equilibrium molar concentration : A student titrated a 10 mL sample of a saturated solution of borax. If the titration required 23.95 mL of 0.2556 M HCL to reach the endpoint, calculate the equilibrium molar concentration of B4O5(OH(4 in the saturated solution

Find the values of b and c when projectile passes through : The hight of the projectile in feet at time t in seconds is given by: f(t)=-16t^2+bt+c.

How each product to minimize cost : Cauchy Canners produces canned whole tomatoes and tomato sauce. This season, the company has available 3,000,000 kg of tomatoes for these two products.

Fed implement monetary policy : How does the Fed implement monetary policy to manage the economy and is the Fed currently using Expansionary Monetary Policy? Why? Why Not?

Determine the number of moles of atoms : Determine the number of moles of atoms in a 22.89 g sample of a metal whose molar mass (MM) is 58.69 g.

How to maintain the collusive agreement : Return again to the cartel in Problems 4 and 5. Now suppose that the market game repeated indefinitely. What is the discount factor (sigma) is necessary now in order to maintain the collusive agreement in an indenitely repeated setting

Community versus the individual freedom of a person : How does one way the safety of the community versus the individual freedom of a person?

User Account

All Pages