In retail sales, an important marker of retail activity is the stock turnover at retail. This figure is calculated for a specific period of time as the total net sales divided by the retail value of the average stock during that time, where both are measured in dollars. As a formula, this is expressed as follows. Stock turnover = Net sales Average stock at retail This formula expresses stock turnover as a function of net sales and average stock at retail. (a) Suppose that your store had net sales of $681,000 in men's shoes over the past six months and that the retail value of the average stock of men's shoes was $124,000. What was the stock turnover at retail for that time period? (Round your answer to two decimal places.) (b) Suppose that in a certain month your store's net sales of women's dresses were $88,000 and that the usual stock turnover at retail is 0.5 per month. What do you estimate to be your store's average stock at retail? (Round your answer to the nearest dollar.) $ (c) Solve the equation for average stock at retail-that is, write a formula giving average stock at retail as a function of stock turnover and net sales. (Enter your answer in terms of n for net sales and x for stock turnover.) Average stock at retail = (d) Suppose that in a certain time period your store had an average stock of socks with a retail value of $48,700 and a stock turnover at retail of 1.9. What were the store's net sales of socks during that time period? (Round your answer to the nearest dollar.) $ (e) Solve the equation for net sales-that is, write a formula giving net sales as a function of stock turnover and average stock at retail. (Enter your answer in terms of x for stock turnover and y for average stock at retail.) Net sales =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In retail sales, an important marker of retail activity is the stock turnover at retail. This figure is calculated for a specific period of time as the total net sales divided by the retail value of the average
stock during that time, where both are measured in dollars. As a formula, this is expressed as follows.
Net sales
Stock turnover =
Average stock at retail
This formula expresses stock turnover as a function of net sales and average stock at retail.
(a) Suppose that your store had net sales of $681,000 in men's shoes over the past six months and that the retail value of the average stock of men's shoes was $124,000. What was the stock
turnover at retail for that time period? (Round your answer to two decimal places.)
(b) Suppose that in a certain month your store's net sales of women's dresses were $88,000 and that the usual stock turnover at retail is 0.5 per month. What do you estimate to be your
store's average stock at retail? (Round your answer to the nearest dollar.)
$
(c) Solve the equation for average stock at retail-that is, write a formula giving average stock at retail as a function of stock turnover and net sales. (Enter your answer in terms of n for net
sales and x for stock turnover.)
Average stock at retail =
(d) Suppose that in a certain time period your store had an average stock of socks with a retail value of $48,700 and a stock turnover at retail of 1.9. What were the store's net sales of socks
during that time period? (Round your answer to the nearest dollar.)
$
(e) Solve the equation for net sales-that is, write a formula giving net sales as a function of stock turnover and average stock at retail. (Enter your answer in terms of x for stock turnover and
y for average stock at retail.)
Net sales =
Transcribed Image Text:In retail sales, an important marker of retail activity is the stock turnover at retail. This figure is calculated for a specific period of time as the total net sales divided by the retail value of the average stock during that time, where both are measured in dollars. As a formula, this is expressed as follows. Net sales Stock turnover = Average stock at retail This formula expresses stock turnover as a function of net sales and average stock at retail. (a) Suppose that your store had net sales of $681,000 in men's shoes over the past six months and that the retail value of the average stock of men's shoes was $124,000. What was the stock turnover at retail for that time period? (Round your answer to two decimal places.) (b) Suppose that in a certain month your store's net sales of women's dresses were $88,000 and that the usual stock turnover at retail is 0.5 per month. What do you estimate to be your store's average stock at retail? (Round your answer to the nearest dollar.) $ (c) Solve the equation for average stock at retail-that is, write a formula giving average stock at retail as a function of stock turnover and net sales. (Enter your answer in terms of n for net sales and x for stock turnover.) Average stock at retail = (d) Suppose that in a certain time period your store had an average stock of socks with a retail value of $48,700 and a stock turnover at retail of 1.9. What were the store's net sales of socks during that time period? (Round your answer to the nearest dollar.) $ (e) Solve the equation for net sales-that is, write a formula giving net sales as a function of stock turnover and average stock at retail. (Enter your answer in terms of x for stock turnover and y for average stock at retail.) Net sales =
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