Question: A small company manufactures single-stranded cable and double-stranded cable. Single-stranded cable results in a profit of $0.15 per foot of cable, and it requires 0.1

A small company manufactures single-stranded

A small company manufactures single-stranded cable and double-stranded cable. Single-stranded cable results in a profit of $0.15 per foot of cable, and it requires 0.1 ounces of copper per foot of cable. Double-stranded cable results in a profit of $0.20 per foot of cable, and it requires 0.2 ounces of copper per foot of cable. The company only has 10,000 ounces of a copper available each day. Let r be the feet of single-stranded cable manufactured in a day, and let x2 be the feet of double-stranded cable manufactured in a day. The company wants to maximize their profit by optimally deciding how much single-stranded cable and double-stranded cable they should manufacture each day. They will use linear programming to optimally find the solution. (a) (3 points) What is the objective function that minimizes their costs for this linear pro- gramming problem? Clearly show your work and identify the units of all the quantities you use in your calculations. (b) (4 points) What is the constraint for this linear programming problem? Clearly show your work and identify the units of all the quantities you use in your calcula- tions. (c) (1 point) What are the sign restrictions for this linear programming

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