Question

Use only one worksheet; it should be labeled “Q Set 1”. Be sure to label all...

Use only one worksheet; it should be labeled “Q Set 1”. Be sure to label all results/formulas clearly.

Question Set 1.

You are an inventory management consultant. You have been hired by Whole Foods to help optimize inventory management for their produce department. Your immediate task is building a Monte Carlo simulation for sales of apples, oranges, and bananas. The probabilities of daily demand levels are:

Probability

Apples

Oranges

Bananas

0.10

225

344

266

0.15

259

394

300

0.25

278

423

319

0.25

290

441

331

0.15

309

470

350

0.10

343

520

384

The unit revenues and costs are given in the table below.

Fruit

Unit Revenue

Unit Cost

Apple

$1.20

$0.75

Orange

$1.05

$0.60

Banana

$0.50

$0.25

1. (5pts) Build a table for the cumulative probability distribution for demand. It should be set up for use with the VLOOKUP function, with the cumulative probabilities on the left.

2. (15pts) Build a table for tracking sales over one week (Sunday 11/1 through Saturday 11/7/2018) with separate columns for apples, oranges, and bananas. This will just be the randomized demand value for each fruit for each day (like in 10.1.2 from the lab exercise on Monte Carlo simulations). For this assignment, assume all demand is actually met (that is, sales = demand) and there is no spoilage.

3. (10pts) Build a table for tracking total revenues, costs, and profit for the week. This table should use the information provided in your answer to 2., above. Your table should calculate values for:

Total Revenue(based on the combined sales of all three fruits over the week)

Total Goods Cost(also based on combined sales)

Fixed Costs(assume the weekly cost for store space is $150 for each fruit display, so $450 total)

Profit/Loss(total revenue minus total costs)

4. (10pts) Create a data table to generate 50 runs of the simulation. As in previous assignments, this must be an actual data table structure to earn full credit. Calculate the average profit over the 50 simulation runs.

Homework Answers

Answer #1

Model was made in Excel and following snapshots are attached along with formulas:

Overall sheet looks like this:

Q1.

Formulas:

Q2.

Formulas:

Q3.

Formulas:

Q4.

Due to limitation of page and screensize for taking screenshots, the above screenshot got terminated to 33 runs only. For all 50 runs, see below.

Formulas:

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