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Question

A bakery sells pastries for 20.00 dollars each. It costs the bakery 18.00 dollars per pastry to produce 800 pastries and 17.25 dollars per pastry to produce 1600 pastries. How much greater will the bakery's gross profit be from the production and sale of 1600 pastries than from the production and sale of 800 pastries?

Answer Choices

A. $1200 dollars$
B. $2400 dollars$
C. $2600 dollars$
D. $2800 dollars$
E. $3000 dollars$

Steps

Explanation	Calculations	Help
$We first create variables to represent revenue, cost, and profit for 800 and 1600 pastries.$	$R_{800}, C_{800}, P_{800}, R_{1600}, C_{1600}, P_{1600}$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "A bakery sells pastries for 20.00 dollars each" and "production and sale of 800 pastries" using the revenue formula.$	$R_{800} = 20.00 \times 800 = 16000$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "costs the bakery 18.00 dollars per pastry to produce 800 pastries" using the cost formula.$	$C_{800} = 18.00 \times 800 = 14400$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We apply the profit formula to find the profit for 800 pastries.$	$P_{800} = R_{800} - C_{800} = 16000 - 14400 = 1600$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "A bakery sells pastries for 20.00 dollars each" and "production and sale of 1600 pastries" using the revenue formula.$	$R_{1600} = 20.00 \times 1600 = 32000$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "17.25 dollars per pastry to produce 1600 pastries" using the cost formula.$	$C_{1600} = 17.25 \times 1600 = (17 + 0.25) \times 1600 = 17 \times 1600 + 0.25 \times 1600 = 27200 + 400 = 27600$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We apply the profit formula to find the profit for 1600 pastries.$	$P_{1600} = R_{1600} - C_{1600} = 32000 - 27600 = 4400$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "How much greater will the bakery's gross profit be from the production and sale of 1600 pastries than from the production and sale of 800 pastries?" using subtraction.$	$P_{1600} - P_{800} = 4400 - 1600 = 2800$	Theory & Tactics Method Card TRANS1-D Click to view full details

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Final Answer

D

Question

A bakery sells pastries for 20.00 dollars each. It costs the bakery 18.00 dollars per pastry to produce 800 pastries and 17.25 dollars per pastry to produce 1600 pastries. How much greater will the bakery's gross profit be from the production and sale of 1600 pastries than from the production and sale of 800 pastries?

Answer Choices

A. $1200 dollars$
B. $2400 dollars$
C. $2600 dollars$
D. $2800 dollars$
E. $3000 dollars$

Steps

Explanation	Calculations	Help
$We first create variables to represent revenue, cost, and profit for 800 and 1600 pastries.$	$R_{800}, C_{800}, P_{800}, R_{1600}, C_{1600}, P_{1600}$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "A bakery sells pastries for 20.00 dollars each" and "production and sale of 800 pastries" using the revenue formula.$	$R_{800} = 20.00 \times 800 = 16000$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "costs the bakery 18.00 dollars per pastry to produce 800 pastries" using the cost formula.$	$C_{800} = 18.00 \times 800 = 14400$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We apply the profit formula to find the profit for 800 pastries.$	$P_{800} = R_{800} - C_{800} = 16000 - 14400 = 1600$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "A bakery sells pastries for 20.00 dollars each" and "production and sale of 1600 pastries" using the revenue formula.$	$R_{1600} = 20.00 \times 1600 = 32000$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "17.25 dollars per pastry to produce 1600 pastries" using the cost formula.$	$C_{1600} = 17.25 \times 1600 = (17 + 0.25) \times 1600 = 17 \times 1600 + 0.25 \times 1600 = 27200 + 400 = 27600$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We apply the profit formula to find the profit for 1600 pastries.$	$P_{1600} = R_{1600} - C_{1600} = 32000 - 27600 = 4400$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "How much greater will the bakery's gross profit be from the production and sale of 1600 pastries than from the production and sale of 800 pastries?" using subtraction.$	$P_{1600} - P_{800} = 4400 - 1600 = 2800$	Theory & Tactics Method Card TRANS1-D Click to view full details

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Final Answer

D