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# I need help with an exercise.. can you help? : The Calhoun

### Customer Question

I need help with an exercise.. can you help?
Customer: The Calhoun Textile Mill is in the process of deciding on a production schedule. It wishes to know how to weave the various fabrics it will produce during the coming quarter. The sales department has confirmed orders for each of the 15 fabrics that are produced by Calhoun. These demands are given in the following table. Also given in this table is the variable cost for each fabric. The mill operates continuously during the quarter: 13 weeks, 7 days a week, and 24 hours a day.There are two types of looms: dobbie and regular. Dobbie looms can be used to make all fabrics, and are the only looms that can weave certain fabrics, such as plaids. The rate of production for each fabric on each type of loom is also given in the table. Note that if the production rate is zero, the fabric cannot be woven on that type of loom. Also, if a fabric can be woven on each type of loom, then the production rates are equal. Calhoun has 90 regular looms and 15 dobbie looms. For this exercise, assume the time requirement to change over a loom from one fabric to another is negligible.Management would like to know how to allocate the looms to the fabrics and which fabrics to buy on the market so as to minimize the cost of meeting demand. Complete the optimal solution table.If required, round your answers to two decimal places. If an amount is zero, enter "0".Fabric Demand Dobbie Rate Regular Rate Mill Cost Sub. Cost
1 16500 4.65 0.00 \$0.66 \$0.80
2 52000 4.65 0.00 \$0.56 \$0.70
3 45000 4.65 0.00 \$0.66 \$0.85
4 22000 4.65 0.00 \$0.55 \$0.70
5 76500 5.19 5.19 \$0.61 \$0.75
6 110000 3.81 3.81 \$0.62 \$0.75
7 122000 4.19 4.19 \$0.65 \$0.80
8 62000 5.23 5.23 \$0.49 \$0.60
9 7500 5.23 5.23 \$0.50 \$0.70
10 69000 5.23 5.23 \$0.44 \$0.60
11 70000 3.73 3.73 \$0.64 \$0.80
12 82000 4.19 4.19 \$0.57 \$0.75
13 10000 4.44 4.44 \$0.50 \$0.65
14 380000 5.23 5.23 \$0.31 \$0.45
15 62000 4.19 4.19 \$0.50 \$0.70
JA: Is there anything else the Math Tutor should be aware of?
Customer: I want to know how to allocate the looms to the fabrics and which fabrics to buy on the market as well as how to minimize the cost of meeting demand.
JA: OK. Got it. I'm sending you to a secure page on JustAnswer so you can place the \$5 fully-refundable deposit now. While you're filling out that form, I'll tell the Math Tutor about your situation and then connect you two.
Submitted: 11 months ago.
Category: Multiple Problems
Expert:  F. Naz replied 11 months ago.

Please accept the offer so the answer may be given in next 24 hours, thanks.

Customer: replied 11 months ago.
Is the amount \$37 or \$53? please let me know.. also can you provide an answer tonight?
Expert:  F. Naz replied 11 months ago.

Yes the answer can be provided tonight, the additional amount is \$53, thanks.

Expert:  F. Naz replied 11 months ago.

Please accept the offer so the answer may be provided by or before tonight, thanks.