To ensure a full line of outdoor clothing and accessories, the marketing department at Teddy Bower insists that they als

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To ensure a full line of outdoor clothing and accessories, the
marketing department at Teddy Bower insists that they also sell
waterproof hunting boots. Unfortunately, neither Teddy Bower nor
TeddySports has expertise in manufacturing those kinds of boots.
Therefore, Teddy Bower contacted several Taiwanese suppliers to
request quotes. Due to competition, Teddy Bower knows that it
cannot sell these boots for more than $54. However, $40 per boot
was the best quote from the suppliers. In addition, Teddy Bower
anticipates excess inventory will need to be sold off at a 50
percent discount at the end of the season. Given the $54 price,
Teddy Bower’s demand forecast is for 520 boots, with a standard
deviation of 420.
a. If Teddy Bower decides to include these boots in its
assortment, how many boots should it order from its supplier?
(Round your answer to nearest whole number.)
b. Suppose Teddy Bower orders 500 boots. What would its expected
profit be? (Round your answer to the nearest whole
number.)
c. John Briggs, a buyer in the procurement department, overheard
at lunch a discussion of the “boot problem.” He suggested that
Teddy Bower ask for a quantity discount from the supplier. After
following up on his suggestion, the supplier responded that Teddy
Bower could get a 8 percent discount if they were willing to order
at least 1,040 boots. If the objective is to maximize expected
profit, how many boots should it order given this new
offer? (Enter your answer as a whole
number.)