Answer:
To find out how much profit the store would make on the sale of 50 DVDs or 900 DVDs, you can use the given profit and DVD quantities as a ratio.
Profit for 200 DVDs = $2550.00
Now, let's set up a proportion to find the profit for different quantities of DVDs:
(Profit for 200 DVDs) / 200 = (Profit for x DVDs) / x
First, let's find the profit for 50 DVDs:
(Profit for 200 DVDs) / 200 = (Profit for 50 DVDs) / 50
Now, cross-multiply and solve for the profit for 50 DVDs:
Profit for 50 DVDs = (Profit for 200 DVDs * 50) / 200
Profit for 50 DVDs = ($2550.00 * 50) / 200
Profit for 50 DVDs = $637.50
So, the store would make a profit of $637.50 on the sale of 50 DVDs.
Now, let's find the profit for 900 DVDs:
(Profit for 200 DVDs) / 200 = (Profit for 900 DVDs) / 900
Again, cross-multiply and solve for the profit for 900 DVDs:
Profit for 900 DVDs = (Profit for 200 DVDs * 900) / 200
Profit for 900 DVDs = ($2550.00 * 900) / 200
Profit for 900 DVDs = $11,475.00
So, the store would make a profit of $11,475.00 on the sale of 900 DVDs.