A chocolate maker has contracted to operate a small candy
14.             A chocolate maker has contracted to operate a small candy counter in a fashionable store. To start with, the selection of offerings will be intentionally limited. The counter will offer a regular mix of candy made up of equal parts of cashews, raisins, caramels, and chocolates, and a deluxe mix that is one-half cashews and one-half chocolates, which will be sold in one-pound boxes. In addi- tion, the candy counter will offer individual one-pound boxes of cashews, raisins, caramels, and chocolates.
A major attraction of the candy counter is that all candies are made fresh at the counter. How- ever, storage space for supplies and ingredients is limited. Bins are available that can hold the amounts shown in the table:
Ingredient
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Capacity (pounds per day)
Cashews                                120
Raisins                                    200
Caramels                               100
Chocolates                          160
In order to present a good image and to encourage purchases, the counter will make at least        20 boxes of each type of product each day. Any leftover boxes at the end of the day will be removed and given to a nearby nursing home for goodwill.
The profit per box for the various items has been determined as follows:
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|
Item
|
Profit per Box
|
|
Regular
|
$.80
|
|
Deluxe
|
.90
|
|
Cashews
|
.70
|
|
Raisins
|
.60
|
|
Caramels
|
.50
|
|
Chocolates
|
.75
|
a.   Formulate the LP model.
b.  Solve for the optimal values of the decision variables and the maximum profit.
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Dec 30 2015 04:05 PM
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Answers
Status NEW
Posted 06 May 2017 03:05 PM
My Price 10.00
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file 1494083107-Answer.docx preview (259 words )
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