Please help i'm stuck......
To produce a particular radio model, it costs a manufacturer $30 per radio, and it is assumed that if 500 radios are produced, all of them will be sold. What must be the selling price per radio to ensure that the profit (revenue from the sales minus the total production cost) on the 500 radios is greater than $8,200?
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jimthompson5910 (jim_thompson5910):
where are you stuck at?
OpenStudy (anonymous):
|dw:1441150359935:dw|
jimthompson5910 (jim_thompson5910):
what is x in this case
OpenStudy (anonymous):
revenue
jimthompson5910 (jim_thompson5910):
good
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jimthompson5910 (jim_thompson5910):
if we wanted the profit to be 8,200 then we would say
profit = (revenue) - (cost)
8,200 = x - 15,000
agreed?
OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
solve `8,200 = x - 15,000` for x to get x = ???
OpenStudy (anonymous):
23200
jimthompson5910 (jim_thompson5910):
so the total revenue must be 23,200 if you want a profit of 8,200
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jimthompson5910 (jim_thompson5910):
now use the idea
revenue = (number of units sold)*(price per unit)
OpenStudy (mikeymaximum):
Anything that is $47 or more
OpenStudy (anonymous):
23,200= (500)(30)
jimthompson5910 (jim_thompson5910):
`23,200= (500)(30)` is a false equation
jimthompson5910 (jim_thompson5910):
$30 is the cost and NOT the selling price
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jimthompson5910 (jim_thompson5910):
let y = selling price
revenue = (number of units sold)*(price per unit)
8200 = (500)*(y)
y = ???
OpenStudy (anonymous):
46.4
OpenStudy (anonymous):
so anything greater than 46.4
jimthompson5910 (jim_thompson5910):
idk how you got 46.4
jimthompson5910 (jim_thompson5910):
oh sorry I put in the wrong revenue, my bad
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jimthompson5910 (jim_thompson5910):
revenue = (number of units sold)*(price per unit)
23200 = (500)*(y)
y = 46.4
so you have the correct selling price