In: Statistics and Probability
Macy’s purchases model 505 straight-leg, blank ink denim jeans for women from Levis Straus & Co and sells them to consumers in 185 store locations across 35 U.S. states. Levis Straus & Co’s cost-of-goods-sold for each pair of these model 505 straight-leg, blank ink denim jeans for women is $21.85. Levis Straus & Co sells these model 505 jeans to Macy’s for $34.50 each. Macy’s in-turn sells each pair of these jeans to consumers for a suggested retail price of $58.49.
What is Macy’s mark-up, is $US dollars and %, on each pair of model 505 straight-leg, blank ink denim jeans for women from Levis Straus & Co sold at the suggested retail price? Assume Macy’s includes model 505 straight-leg, blank ink denim jeans for women from Levis Straus & Co in the end-of-year sale (November 1st to December 31st) when every item in the store is discounted by 17.5% off the suggested retail price.
What is the discounted price Macy’s customers will pay for model 505 straight-leg, blank ink denim jeans for women from Levis Straus & Co? What is Macy's revised Mark-Up % after applying the 17.5% discount? Assume Macy’s sells-through a quantity of 21,333 model 505 straight-leg, blank ink denim jeans for women at the discounted price during the end-of-year sale.
What is the total revenue and, separately, gross margin in $US dollars, for Levis Straus & Co?
What is the total revenue and, separately, mark-up in $US dollars, for Macy’s?
Answer:
Givrm Data
Macy’s purchases model 505 straight-leg, blank ink denim jeans for women from Levis Straus & Co and sells them to consumers in 185 store locations across 35 U.S. states.
Original cost of denim to Levis = $ 21.85
Cost at which given to Macy = $ 34.50
Retail price of Macy for denim = $ 58.49
Mark up is the difference between the cost at which goods are acquired and price at which they are sold.
Mark up in $ = $ 58.49 - $ 34.50
= $ 23.99
Mark up in % terms can be expressed as % of cost or retail price. Both are calculated below -
Mark up as % of cost =
= 69.54%
Mark up as % of retail price =
= 41.02%
End of year sale -
Discount of 17.5% being given.
Discount = 17.5% of 58.49
= $ 10.23575
Retail price after discount = $ 58.49 - 10.23575
= $ 48.25425
Revised mark up = $ 48.25425 - $ 34.50
= $13.75425
Mark up as % of cost =
= 39.87%
Mark up as % of retail price = = 28.50%
Given
Assume Macy’s sells-through a quantity of 21,333 model 505 straight-leg
Quantity sold = 21,333 @ $ 48.25425 Each
Total revenue for Macy = 21,333 * 48.25425
= $ 1,029,408
Total mark up for Macy = 21,333 * 13.75425
= $ 293,419.41
Gross margin for Levis will be as follows -
Cost for each jeans = $ 21.85
Price = $ 34.50
Difference = $ 34.50 - $ 21.85
= $ 12.65
Total revenue for Levis in $ = 21,333 * 34.50
= $ 735,988.5
Gross margin in $ = 12.65 * 21,333
= $ 269,862.45
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