Answer:
Explanation:
To find the number of magazines the newsstand must sell each week to achieve a desired profit of $150, we can use the following formula:
Profit
=
(
Selling Price
−
Cost Price
)
×
Number of Magazines Sold
−
Fixed Costs
Profit=(Selling Price−Cost Price)×Number of Magazines Sold−Fixed Costs
Given:
List price (usual selling price) = $8.00
Discount = 33% of $8.00
Fixed costs = $203 per week
Desired profit = $150
The cost price is the list price less the discount. So,
Cost Price
=
$
8.00
−
(
0.33
×
$
8.00
)
Cost Price=$8.00−(0.33×$8.00)
Now, let's calculate the profit per magazine:
Profit per Magazine
=
(
Selling Price
−
Cost Price
)
Profit per Magazine=(Selling Price−Cost Price)
Finally, we can use the formula for profit to find the number of magazines the newsstand must sell:
Number of Magazines Sold
=
Profit
+
Fixed Costs
Profit per Magazine
Number of Magazines Sold=
Profit per Magazine
Profit+Fixed Costs
Let's plug in the values and calculate:
Cost Price
=
$
8.00
−
(
0.33
×
$
8.00
)
Cost Price=$8.00−(0.33×$8.00)
Profit per Magazine
=
(
$
8.00
−
Cost Price
)
Profit per Magazine=($8.00−Cost Price)
Number of Magazines Sold
=
$
150
+
$
203
Profit per Magazine
Number of Magazines Sold=
Profit per Magazine
$150+$203
By solving these equations, you'll find the number of magazines the newsstand must sell each week to achieve a profit of $150.