Question: Question 1 options: Aggregate Planning Given the projected demands for the next six months, prepare an aggregate plan that uses inventory, regular time, overtime, subcontract

Question 1 options:Aggregate Planning Given the projected demands for the next six months, prepare an aggregate plan that uses inventory, regular time, overtime, subcontract and backorders. Regular time is limited to 160 units per month (Cost per Unit = $50 ). Overtime is limited to a maximum of 30 units per month (Cost per Unit =$75). Units purchased from the subcontractor (Cost per Unit = $63 ) cannot exceed 30 per month and the total purchases from the subcontractor over the 6 month period cannot be over 200 units. Backorders cannot exceed 40 units in any given month (Cost per Unit = $4 ) and must be no more than 20 in Period 6. Average Inventory Holding cost per Unit = $8. Forecasted Demand as well as Beginning and desired Ending Inventory are listed in the table below.

Month

1

2

3

4

5

6

Total

Regular Output

Overtime Output

Subcontract

Beginning Inventory

20

Total Available for Sale

Less Forecast

210

200

300

160

150

180

Plus Backlog-Current Period

Less Backlog-Previous Period

Ending Inventory

30

Average Inventory

Required: Find the Minimum Cost Production Plan by Creating a Spreadsheet in Excel. Use Solver to find the Minimum Cost Solution. Leave a copy of your Spreadsheet in the DropBox. Total Cost Month 1 =

Hint: Range (11460 ,11650 ) Total Cost Month 2 =

Hint: Range (12330 ,12400 ) Total Cost Month 3 =

Total Cost Month 4 =

Total Cost Month 5 =

Hint: Range (7910 ,8050 ) Total Cost Month 6 =

Total Cost All Periods =

Hint: Range (64110 ,65010 ) Answer Format: No Dollar ($) signs or commas --- Answers should be whole numbers.

Question 2 (14 points)

Question 2 options:Below is a table of times for Taxis (A to H) to reach Customers (1 to 8) who need a ride home after a night on the town. The goal is to Minimize the time it takes for all of the Taxis to reach their Customers. Only one Taxi will be sent to each Customer and each Customer needs only one Taxi.

Taxi / Cust

1

2

3

4

5

6

7

8

A

17

19

10

11

14

15

18

14

B

9

3

10

15

19

19

17

15

C

7

12

5

15

16

16

10

13

D

2

2

5

3

7

5

19

19

E

6

2

19

18

19

6

14

9

F

16

3

2

16

12

6

12

13

G

7

4

13

17

8

5

13

3

H

18

12

15

17

6

2

6

8

The optimal solution to this problem requires the following: Taxi A picks up Customer

Taxi B picks up Customer

Taxi C picks up Customer

Taxi D picks up Customer

Taxi E picks up Customer

Taxi F picks up Customer

Taxi G picks up Customer

Taxi H picks up Customer

Minimum Cost =

Hint: Your cost should be between 41 and 48 Enter your cost without any Formatting. No Dollar Signs and No Commas

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