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Question

A bakery sells cupcakes for 2.50 dollars each. The cost per cupcake is 2.00 dollars when 1, 200 cupcakes are produced and 1.75 dollars when 2, 400 cupcakes are produced. How much greater will the bakery’s gross profit be from the production and sale of 2, 400 cupcakes than from the production and sale of 1, 200 cupcakes?

Answer Choices

A. $600$
B. $900$
C. $1, 200$
D. $1, 500$
E. $2, 100$

Steps

Explanation	Calculations	Help
$We name variables for revenue, cost, and profit for producing and selling 1,200 and 2,400 cupcakes.$	$R_{1200}, C_{1200}, P_{1200}, R_{2400}, C_{2400}, P_{2400}$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "A bakery sells cupcakes for 2.50 dollars each" and "production and sale of 1,200 cupcakes" using the revenue formula.$	$R_{1200} = 2.50 \times 1200 = 3000$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "The cost per cupcake is 2.00 dollars when 1,200 cupcakes are produced" using the cost formula.$	$C_{1200} = 2.00 \times 1200 = 2400$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We calculate the profit for 1,200 cupcakes using the profit formula.$	$P_{1200} = R_{1200} - C_{1200} = 3000 - 2400 = 600$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "production and sale of 2,400 cupcakes" using the revenue formula.$	$R_{2400} = 2.50 \times 2400 = 6000$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "The cost per cupcake is 1.75 dollars when 2,400 cupcakes are produced" using the cost formula.$	$C_{2400} = 1.75 \times 2400 = 4200$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We calculate the profit for 2,400 cupcakes using the profit formula.$	$P_{2400} = R_{2400} - C_{2400} = 6000 - 4200 = 1800$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "How much greater will the bakery's gross profit be from the production and sale of 2,400 cupcakes than from the production and sale of 1,200 cupcakes?" by subtracting the two profits.$	$P_{2400} - P_{1200} = 1800 - 600 = 1200$	Theory & Tactics Method Card TRANS1-D Click to view full details

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Final Answer

C

Question

A bakery sells cupcakes for 2.50 dollars each. The cost per cupcake is 2.00 dollars when 1, 200 cupcakes are produced and 1.75 dollars when 2, 400 cupcakes are produced. How much greater will the bakery’s gross profit be from the production and sale of 2, 400 cupcakes than from the production and sale of 1, 200 cupcakes?

Answer Choices

A. $600$
B. $900$
C. $1, 200$
D. $1, 500$
E. $2, 100$

Steps

Explanation	Calculations	Help
$We name variables for revenue, cost, and profit for producing and selling 1,200 and 2,400 cupcakes.$	$R_{1200}, C_{1200}, P_{1200}, R_{2400}, C_{2400}, P_{2400}$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "A bakery sells cupcakes for 2.50 dollars each" and "production and sale of 1,200 cupcakes" using the revenue formula.$	$R_{1200} = 2.50 \times 1200 = 3000$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "The cost per cupcake is 2.00 dollars when 1,200 cupcakes are produced" using the cost formula.$	$C_{1200} = 2.00 \times 1200 = 2400$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We calculate the profit for 1,200 cupcakes using the profit formula.$	$P_{1200} = R_{1200} - C_{1200} = 3000 - 2400 = 600$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "production and sale of 2,400 cupcakes" using the revenue formula.$	$R_{2400} = 2.50 \times 2400 = 6000$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "The cost per cupcake is 1.75 dollars when 2,400 cupcakes are produced" using the cost formula.$	$C_{2400} = 1.75 \times 2400 = 4200$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We calculate the profit for 2,400 cupcakes using the profit formula.$	$P_{2400} = R_{2400} - C_{2400} = 6000 - 4200 = 1800$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "How much greater will the bakery's gross profit be from the production and sale of 2,400 cupcakes than from the production and sale of 1,200 cupcakes?" by subtracting the two profits.$	$P_{2400} - P_{1200} = 1800 - 600 = 1200$	Theory & Tactics Method Card TRANS1-D Click to view full details

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Final Answer

C