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Ram Roy\'s firm has developed the following supply, demand, cost, and inventory

ID: 465297 • Letter: R

Question

Ram Roy's firm has developed the following supply, demand, cost, and inventory data.

  

Supply Available

Period---------

RegularTime-------

Overtime-------

Subcontract--------

Demand Forecast

1

30

15

10

50

2

30

15

10

45

3

40

20

10

60

Initial inventory

30 units

Regular-time cost per unit

$100

Overtime cost per unit

$160

Subcontract cost per unit

$250

Carrying cost per unit per month

$6

Assume that the initial inventory has no holding cost in the first period and backorders are not permitted.

A) Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is ??? (enter your response as a whole number)

Supply Available

Period---------

RegularTime-------

Overtime-------

Subcontract--------

Demand Forecast

1

30

15

10

50

2

30

15

10

45

3

40

20

10

60

Explanation / Answer

Total Cost is $26310.

Supply Available Cost Period RegularTime Overtime Subcontract Demand Forecast total supply beginning inventory ending inventory RegularTime cost Overtime cost Subcontract cost Carrying cost Total cost 1 30 15 10 50 55 30 35 3000 2400 2500 210 8110 2 30 15 10 45 55 35 45 3000 2400 2500 270 8170 3 40 20 10 60 70 45 55 4000 3200 2500 330 10030 Total 100 50 30 155 180 110 135 10000 8000 7500 810 26310 Initial inventory 30 units Regular-time cost per unit $100 Overtime cost per unit $160 Subcontract cost per unit $250 Carrying cost per unit per month $6