Question

1) Suppose that papers for a newspaper stand cost $0.40 and sell for $0.80. They currently have no salvage value. If the stand owner is able to find an outlet that would provide a salvage value of $0.10, what would be the increase in service level? A) .5 B) 0 C) .07 D) 1 E) unable to determine given only the above information

Answer 1

Answer:

C) .07

Explanation:

Current cost of newspaper = C

                                             = $0.40 / units

Current price of newspaper = P

                                               = $0.80 / UNIT

Current salvage value = S = 0

Cost of under ordering = Cu

                                       = P – C

                                       = $40

Cost of over ordering = C – S

                                    = $0.40

Critical ratio = Cu/ ( Cu + Co )

                    = 0.4 / ( 0.4 + 0.4)

                    = 0.5

Since critical ratio defines the probability of optimum demand ,

We can consider service level ( %) = Critical ratio x 100  

Current service level = 50 %

When the salvage value = $0.1 ,

Cost of under ordering = Cu

                                       = P – C

                                       = $40

Cost of over ordering = C – S

                                    = $0.40 - $0.1

                                    = $0.30

Critical ratio = Cu/ ( Cu + Co )

                     = 0.4 / ( 0.4 + 0.3)

                     = 0.4/0. 7

                     = 0.5714

The revised service level = 0.5714 x 100 = 57.14 %

Therefore, The increase in service level is 0.07.