Teddy Bower is an outdoor clothing and accessories chain that purchases a line of parkas at $12 each from its Asian supplier, TeddySports. Unfortunately, at the time of the order placement, demand is still uncertain: Teddy Bower forecasts that its demand is normally distributed with a mean of 2,300 and a standard deviation of 1,100. Teddy Bower sells these parkas at $22 each. Unsold parkas have little salvage value; Teddy Bower simply gives them away to a charity (and also doesn’t collect a tax benefit for the donation).
a) How many parkas should Teddy Bower buy from TeddySports to maximize expected profit?

For parts b) through d), assume Teddy Bower orders 3,000 parkas (Q=3,000). b) What is Teddy Bower’s CSL (in-stock probability)?

c) On average, how many customers does Teddy Bower expect to turn away because of shortage? And on average, how many parkas will Teddy Bower liquidate after each season?

d) What is Teddy Bower’s expected profit?

a) 2179 parkas

b) 0.7389

c) 174 customers

d) 10,772

Explanation:

Given:

Bower's selling price =$22

Salvage value: $0

Cost price = $12

Mean distribution= 2300 parkas

S.d = 1100 parkas

a) Number of parkas Teddy Bower should buy from Teddysports to maximize profit:

Let's first calculate overage(Co) and underage (Cu) cost.

•Cu = Selling price - Cost price

= $22 - $12

= $10

Underage cost = $10

•Co = Cost price - Salvage value

= $12 - $0

= $12

Overage cost = $12

Let's now find the critical ratio with the formula:

= 0.4545

From the Excel function NORMSINV, the corresponding z value is =

NORMSINV(0.4545)

z value = -0.11

For the number of parkas Teddy Brown should order, we have:

Quantity = Mean +(z*s.d)

= 2300+ (-0.11 * 1100)

= 2179 parkas

b) for z value corresponding to expected sales of 3000 parkas, we have:

z value = (expected demand -mean)/s.d

= 0.64

From the Excel function NOEMSDIST, the corresponding probability =

NORMSDIST(0.64)

= 0.7389 = 73.89%

In stock probability = 0.7389

c) For L(0.64) using the standard normal loss function table, L(z) =

L (0.64) = 0.158

For expected lost sales, we have:

S.d * L(z)

= 1100* 0.158

= 173.8

= 174.

On average, there is expected to be a turn away of 174 customers due to shortage.

d)

Lets first calculate expected sales and left over inventory.

•Expected sales = Mean -expected lost sales

= 2,300 - 174

= 2,126

•Left over inventory expected=

Expected demand - Expected lost sales

= 3000 - 2126

= 874

For expected profit, we have:

=($10*2126)-($12*874)

= $10,772

Profit expected = $10,772

(i know i'm late but the answer's "things about yourself" because you want to list things you're capable of, why you want to open up the business, the amount of money you're putting into it,etc.) i'm guessing you take online school small business, the answers to the quizzes are all over quizlet. just look up your question and type quizlet after it and it'll pop up.

the correct answer is economics is a game without winners or losers.

unlike sports or games economic is a game without losers or winner rather it is a game where everyone wins. parties of business doing businesses exchange money with each other and hence exchange is done on the basis of goods. one party takes the goods and other sales it so there is winner on both sides. each party values more highly the good it gets than the good it gives up. both sides exchange only because both intend to increase their value. so there is no concept of lose or win.