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Sandhya, Tutor
Category: Homework
Satisfied Customers: 3709
Experience:  I have several years of teaching experience.
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### Resolved Question:

Hello,
I need help answering this question including the spreadsheet used. Thank you.

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 addition, the candy counter will offer individual one-pound boxes of cashews, raisins, caramels, and chocolates.

major attraction of the candy counter is that all candies are made fresh at the counter. However, storage space for supplies and ingredients is limited. Bins are available that can hold the amounts shown in the table:

Ingredient Capacity
(pounds per day)
Cashews 131
Raisins 200
Caramels 106
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:

Item Profit per box
Regular \$.80
Deluxe .90
Cashews .79
Raisins .61
Caramels .50
Chocolates .76

--------------------------------------------------------------------------------

a. Formulate the LP model. (Round your answers to 2 decimal places.)

x1 boxes of regular mix
x2 "mix" deluxe
x3 "mix" cashews
x4 "mix" raisins
x5 "mix" caramels
x6 "mix" chocolates

--------------------------------------------------------------------------------

The LP model: .80 x1 + .90x2 + x3+ x4+ .50x5+ x6

b. Solve for the optimal values of the decision variables and the maximum profit. (Round your answer to the nearest whole number. Omit the "\$" sign in your response.)

Decision Variables Optimal Values
x1
x2
x3
x4
x5
x6

--------------------------------------------------------------------------------

Maximum profit \$
Submitted: 3 years ago.
Category: Homework
Expert:  Sandhya replied 3 years ago.
Hi,

Thanks
Customer: replied 3 years ago.
My deadline for the correct answer is Saturday June 23rd 8pm EST. But sooner is o.k.
Expert:  Sandhya replied 3 years ago.
Hi,

Thanks for your message. I will post solutions within 18 hours from now.

Thanks
Customer: replied 3 years ago.
OK. Thank you.
Expert:  Sandhya replied 3 years ago.
You are most welcome!

Thanks
Expert:  Sandhya replied 3 years ago.

Hi,

WORD FILE

EXCEL FILE

Thanks

Customer: replied 3 years ago.
I submitted the answers and while some are correct most are not. I have attache the file for you to see. Note that on the value for X4 I believe I typed 61 instead of .61 so I'm pretty sure .61 is the correct answer. Thank you. Please disrerard my previous email a few minutes ago.
Expert:  Sandhya replied 3 years ago.
Hi,

I am not sure why it is showing 0.61 to be incorrect.

Can you please check and let me know?

Thanks

Customer: replied 3 years ago.
.61 is correct. I inputed it as 60 originally. The screenshot I originally sent had me typing over. I took another screenshot and am resending.
Expert:  Sandhya replied 3 years ago.
Hi,

I will send updated solution in a while.

I am working on it.

Thanks
Customer: replied 3 years ago.
thank you.
Expert:  Sandhya replied 3 years ago.
Decision Variables Optimal Values
x1: 344
x2: 50
x3: 20
x4: 114
x5: 20
x6: 49

Maximum profit: 453

Let me know if it correct. I will send spreadsheet and word file.

Thanks
Customer: replied 3 years ago.

I have another question I have to research and sumbit also so it may be later today. I will respond and let you know.

Expert:  Sandhya replied 3 years ago.
Hi,

Did you check this question?

Thanks
Customer: replied 3 years ago.

Those are the correct answer. Can you send me the spreadsheet including the formula's and data points?

Expert:  Sandhya replied 3 years ago.

You need to spend \$3 to view this post. Add Funds to your account and buy credits.
Sandhya, Tutor
Category: Homework
Satisfied Customers: 3709
Experience: I have several years of teaching experience.

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