Question

Henrique Correa's bakery prepares all its cakes between 4 A.M. and 6 A.M.so they will be fresh when customers arrive. Day-old cakes are virtually always sold, but at a 50% discount off the regular $10 price. The cost of baking a cake is $7, and demand is estimated to be normally distributed, with a mean of 25 and a standard deviation of 8. What is the optimal stocking level? Refer to the standard normal table for z-values. The optimal stocking level for the bakery is cakes (round your response to the nearest whole number).

Answer 1

Answer:

The optimal stocking level for the bakery is cakes 27.

Explanation:

Cost c = $ 7

Selling price p = $ 10

salvage value s = $ 5

Mean = 25

Standard deviation \sigma = 8

Cu = underage cost

    = p-c

    = $10 - $7

    = $3

Co = overage cost

     = c-s

     = $7 - $5

     = $2

P\leq C_{u}/(C_{u}+C_{o})

P\leq3/(3+2)

= 0.6

By using normsinv() function in excel we to find the correct critical value

The Z value for the probability 0.6 is 0.2533

The optimal stocking level is

=\mu +z\sigma

= 25 + 0.2533 *8

= 27.02

The optimal stocking level of bakery is 27.02

Therefore, The optimal stocking level for the bakery is cakes 27.