A farmer grows three crops, corn, oats and soybeans which he mixes

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7 questions in the attached file.

You are planning to make an open rectangular box from a 12-by 14-cm piece of cardboard by cutting congruent squares from the corners and folding up the sides. a) What are the dimensions of the box of larges volume you can make this way? b) What is its volume?

You are planning to make an open rectangular box from a 12-by 14-cm piece of cardboard by cutting congruent squares from the corners and folding up the sides. a) What are the dimensions of the box of larges volume you can make this way? b) What is its volume?

A rectangular storage container with an open top is to have a volume of 10m3. The length of its base its twice the width. Material for the base costs of $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such container.

A rectangular storage container with an open top is to have a volume of 10m3. The length of its base its twice the width. Material for the base costs of $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such container.

A box with a square base and open top must have a volume of 3,200 cubic inches. Use calculus to find the dimensions of the box that minimize the amount of material used.

A box with a square base and open top must have a volume of 3,200 cubic inches. Use calculus to find the dimensions of the box that minimize the amount of material used.

Food and clothing are shipped to Victims of a natural disaster. Each carton of food will feed 13 people while each carton of clothing will help 6 people. Each 20 cubic foot box of food weighs 40 pounds and each 5 cubic foot box of clothing weighs 25 pounds. The commercial carriers transporting food and clothing are bound by the following constraints. The first constraint is the total weight per carrier can not exceed 21,000 pounds. the Second constraint is the total volume must be no more than 6,000 cubic feet. How many cartons of food and clothing should be sent with each plane shipments to maximize the number of people who can be helped?

Food and clothing are shipped to Victims of a natural disaster. Each carton of food will feed 13 people while each carton of clothing will help 6 people. Each 20 cubic foot box of food weighs 40 pounds and each 5 cubic foot box of clothing weighs 25 pounds. The commercial carriers transporting food and clothing are bound by the ...continues

Investment Advisors, Inc., is a brokerage firm that manages stock portfolios for a number of clients. A particular portfolio consists of U shares of U.S. Oil and H shares of Huber Steel. The annual return for U.S. Oil is $3 per share and the annual return for Huber Steel is $5 per share. U.S. Oil sells for $25 per share and Huber Steel sells for $50 per share. The portfolio has $80,000 to be invested. The portfolio risk index (0.50 per share U.S. Oil and 0.25 per share for Huber Steel) has a maximum of 700. In addition, the portfolio is limited to a maximum of 1000 shares of U.S. Oil. The linear programming formulation that will maximize the total annual return of the portfolio is as follows: Max z = 3U + 5H Subject to: 25U + 50H ≤ 80,000 Funds available 0.50U + 0.25H ≤ 700 Risk maximum 1U ≤ 1000 U.S. Oil maximum U, H ≥ 0 What is the optimal solution, and what is the value of the total annual return?

Investment Advisors, Inc., is a brokerage firm that manages stock portfolios for a number of clients. A particular portfolio consists of U shares of U.S. Oil and H shares of Huber Steel. The annual return for U.S. Oil is $3 per share and the annual return for Huber Steel is $5 per share. U.S. Oil sells for $25 per share and Hube ...continues

Bill owns an oil well located 400m from a road. Bill wants to connect the well to a storage tank 1200m down the road from the well. It costs #35/m to lay pipe along the road and #50/m to lay it elsewhere. How should the pipeline be laid to minimize the total cost?

Bill owns an oil well located 400m from a road. Bill wants to connect the well to a storage tank 1200m down the road from the well. It costs #35/m to lay pipe along the road and #50/m to lay it elsewhere. How should the pipeline be laid to minimize the total cost?

Linear Programming An oil company tries to maximize its profit by optimal decisions regarding the selling of different products. Some issues should be considered for example limitted emount of products and etc. Find an LP model which aims to maximize the profit.

How do I set up the problem and find the maximum profit? I have tried for hours but still confused. Linear programming The Grand Strand Oil Company The Grand Strand Oil Company produces regular and premium gasoline for independent service stations in the southeastern United States. The Grand Strand ...continues

Transportation Problem

A logistics specialist for Wiethoff Inc. must distribute cases of parts from 3 factories to 3 assembly plants. The monthly supplies and demands, along with the per-case transportation costs are: Destination Assembly Plant 1 2 3 Supply Source A 5 9 16 200 Factory B 1 2 6 400 C 2 8 7 200 Demand 120 620 60 What are the ...continues