excel assignment

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Bahlman_Chapter_10_3rd_Degree_PD_Problem_Start.xlsx

Problem

3rd Degree PD Problem
Many pharmaceutical products are used to treat multiple issues. One example of this is diphenhydramine. Formerly sold under patent as Benadryl, diphenhydramine is now an over-the-counter allergy relief medicine available in generic form. One of the side effects of diphenhydramine is drowsiness. More recently, it has been sold as a nighttime sleep aid (i.e. ZzzQuil). Walmart sells two generic versions of diphenhydramine; one is pink, sold as allergy relief medication, and one is blue, sold as a nighttime sleep aid. Walmart sells each version in a bottle of 100 pills with 25mg of diphenhydramine each. The allergy relief medication sells for $4 per bottle and the nighttime sleep aid sells for $4.98 even though these are chemically identical products. Suppose you are developing a pricing strategy for a firm in a similar situation to Walmart. You are selling a generic version of a medication which can be used to help keep someone awake but it also acts as a diuretic. Demand for this medicine from people who need to stay awake is Q = 10000 - 800P while demand for individuals who use the medicine as a diuretic is Q = 7500 - 1000P. The cost to your company of each bottle sold is $1.50; assume there are no fixed costs. The demand functions and the cost value are gathered below.
Q = 10,000 - 800 P
Q = 7,500 - 1,000 P
Unit cost $1.50
a) Set up formulas to calculate quantity demanded, total revenue, total cost, profit from each kind of customer, and combined profit. Using solver, solve for the profit maximizing price for customers who use this medication to stay awake. Suppose you charge customers who use the medication as a diuretic the same price. How many bottles will you sell to each kind of customer? What is your combined profit?
Stay Awake
Price
Quantity Demanded
Total Revenue
Total Cost
Profit
Diuretic
Price
Quantity Demanded
Total Revenue
Total Cost
Profit
Combined Profit
b) Set up formulas to calculate quantity demanded, total revenue, total cost, profit from each kind of customer, and combined profit. Using solver, solve for the profit maximizing price for customers who use this medication as a diuretic. Suppose you charge customers who use the medication to stay awake the same price. How much will you charge per bottle? How many bottles will you sell to each kind of customer? What is your combined profit?
Diuretic
Price
Quantity Demanded
Total Revenue
Total Cost
Profit
Stay Awake
Price
Quantity Demanded
Total Revenue
Total Cost
Profit
Combined Profit
c) Set up formulas to calculate quantity demanded, total revenue, total cost, profit from each kind of customer, and combined profit. Suppose you charged customers differently based on their use of the medication. How much will you charge per bottle to each kind of customer? How many bottles will you sell to each kind of customer? What is your combined profit?
Stay Awake
Price
Quantity Demanded
Total Revenue
Total Cost
Profit
Diuretic
Price
Quantity Demanded
Total Revenue
Total Cost
Profit
Combined Profit
d) Which plan would you pursue if you were making the decision and your goal is to maximize profits?
One would pursue

Instructions

Project Description: In this problem, you will use the Solver Add-in to determine the profit maximizing price under different plans. Under each plan you will calculate the quantity demanded by each kind of customers, total revenue, total cost, and profit as well as the combined profit. Then you will determine the best plan.
For the purpose of grading the project you are required to perform the following tasks:
Step Instructions Points Possible
1 Start Excel. 0
2 Perform your calculations for the customers who use the medication to stay awake under plan a. Prepare cells E11-E14 to use the Solver Add-in. In cell E11, by using cell references, calculate the quantity demanded for the given price. Use cells F5, H5, and E10. In cell E12, by using cell references, calculate the total revenue for the given price and the quantity demanded. Use cells E10 and E11. In cell E13, by using cell references, calculate the total cost for the quantity demanded. Use cells F7 and E11. In cell E14, by using cell references, calculate the profit generated by the customers who use the medication to stay awake. Use cells E12 and E13. 4
3 Use the Solver Add-in to find the price that maximizes the profit generated by the customers who use the medication to stay awake. Using Solver Add-in Select the Solver in the Analyze group of the Data tab of the Ribbon (note you should add this Add-in in case you do not have it in the Data tab already). Choose cell E14 in the Set Objective field. Select the Max option below. Choose cell E10 in the By Changing Variable Cells field. There are no additional constraints. Make sure that the “Make Unconstrained Variables Non-Negative” box is checked. Leave the GRG Nonlinear solving method. Click Solve. In the popup window, select the Keep Solver Solution option. Do not check any additional boxes and click OK. As the result, you will see the price in cell E10, that gives the maximum profit generated by the customers who use the medication to stay awake. The values for the quantity demanded, total revenue, total cost, and profit will update automatically. 1
4 In cells E16-E20, perform your calculations for the customers who use the medication as a diuretic under plan a. In cell E16, by a using cell reference, enter the price set for the customers who use the medication as a diuretic. Refer to an appropriate cell among E10-E14. In cell E17, by using cell references, calculate the quantity demanded. Use cells F6, H6, and E16. In cell E18, by using cell references, calculate the total revenue for the given price and the quantity demanded. Use cells E16 and E17. In cell E19, by using cell references, calculate the total cost for the quantity demanded. Use cells F7 and E17. In cell E20, by using cell references, calculate the profit generated by the customers who use the medication as a diuretic. Use cells E18 and E19. 5
5 In cell F21, calculate the combined profit for plan a. Use cells E14 and E20. 1
6 Perform your calculations for the customers who use the medication as a diuretic under plan b. Prepare cells E25-E28 to use the Solver Add-in. In cell E25, by using cell references, calculate the quantity demanded for the given price. Use cells F6, H6, and E24. In cell E26, by using cell references, calculate the total revenue for the given price and the quantity demanded. Use cells E24 and E25. In cell E27, by using cell references, calculate the total cost for the quantity demanded. Use cells F7 and E25. In cell E28, by using cell references, calculate the profit generated by the customers who use the medication as a diuretic. Use cells E26 and E27. 4
7 Use the Solver Add-in to find the price that maximizes the profit generated by the customers who use the medication as a diuretic. Using Solver Add-in Select the Solver in the Analyze group of the Data tab of the Ribbon. Choose cell E28 in the Set Objective field. Select the Max option below. Choose cell E24 in the By Changing Variable Cells field. There are no additional constraints. Make sure that the “Make Unconstrained Variables Non-Negative” box is checked. Leave the GRG Nonlinear solving method. Click Solve. In the popup window, select the Keep Solver Solution option. Do not check any additional boxes and click OK. As the result, you will see the price in cell E24, that gives the maximum profit generated by the customers who use the medication as a diuretic. The values for the quantity demanded, total revenue, total cost, and profit will update automatically. 1
8 In cells E30-E34, perform your calculations for the customers who use the medication to stay awake under plan b. In cell E30, by using a cell reference, enter the price set for the customers who use the medication to stay awake. Refer to an appropriate cell among E24-E28. In cell E31, by using cell references, calculate the quantity demanded. Use cells F5, H5, and E30. In cell E32, by using cell references, calculate the total revenue for the given price and the quantity demanded. Use cells E30 and E31. In cell E33, by using cell references, calculate the total cost for the quantity demanded. Use cells F7 and E31. In cell E34, by using cell references, calculate the profit generated by the customers who use the medication to stay awake. Use cells E32 and E33. 5
9 In cell F35, calculate the combined profit for plan b. Use cells E28 and E34. 1
10 In cells E38-E42, perform your calculations for the customers who use the medication to stay awake under plan c. In cell E38, by using a cell reference, enter the price set for the customers who use the medication to stay awake. Refer to an appropriate cell among E10-E14 and E30-E34. In cell E39, by using cell references, calculate the quantity demanded. Use cells F5, H5, and E38. In cell E40, by using cell references, calculate the total revenue for the given price and the quantity demanded. Use cells E38 and E39. In cell E41, by using cell references, calculate the total cost for the quantity demanded. Use cells F7 and E39. In cell E42, by using cell references, calculate the profit generated by the customers who use the medication to stay awake. Use cells E40 and E41. 5
11 In cells E44-E48, perform your calculations for the customers who use the medication as a diuretic under plan c. In cell E44, by using a cell reference, enter the price set for the customers who use the medication as a diuretic. Refer to an appropriate cell among E16-E20 and E24-E28. In cell E45, by using cell references, calculate the quantity demanded. Use cells F6, H6, and E44. In cell E46, by using cell references, calculate the total revenue for the given price and the quantity demanded. Use cells E44 and E45. In cell E47, by using cell references, calculate the total cost for the quantity demanded. Use cells F7 and E45. In cell E48, by using cell references, calculate the profit generated by the customers who use the medication as a diuretic. Use cells E46 and E47. 5
12 In cell F49, calculate the combined profit for plan b. Use cells E42 and E48. 1
13 In cell E51, determine which plan should be pursued. 1
14 Save the workbook. Close the workbook and then exit Excel. Submit the workbook as directed. 0