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Question

A manufacturer sells widgets for 12 dollars each. It costs the manufacturer 9 dollars per widget to produce 600 widgets and 8.5 dollars per widget to produce 1800 widgets. How much greater will the manufacturer's gross profit be from the production and sale of 1800 widgets than from the production and sale of 600 widgets?

Answer Choices

A. $3000$
B. $3600$
C. $4500$
D. $5400$
E. $6000$

Steps

Explanation	Calculations	Help
$We first establish variables for revenue, cost, and profit for 600 and 1800 widgets.$	$R_{600}, C_{600}, P_{600}, R_{1800}, C_{1800}, P_{1800}$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "manufacturer sells widgets for 12 dollars each" and "production and sale of 600 widgets" using the revenue formula.$	$R_{600} = 12 \times 600 = 7200$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "costs the manufacturer 9 dollars per widget to produce 600 widgets" using the cost formula.$	$C_{600} = 9 \times 600 = 5400$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We calculate profit for 600 widgets using the profit formula.$	$P_{600} = R_{600} - C_{600} = 7200 - 5400 = 1800$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "manufacturer sells widgets for 12 dollars each" and "production and sale of 1800 widgets" using the revenue formula.$	$R_{1800} = 12 \times 1800 = 21600$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "8.5 dollars per widget to produce 1800 widgets" using the cost formula.$	$C_{1800} = 8.5 \times 1800 = 15300$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We calculate profit for 1800 widgets using the profit formula.$	$P_{1800} = R_{1800} - C_{1800} = 21600 - 15300 = 6300$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "How much greater will the manufacturer's gross profit be from the production and sale of 1800 widgets than from the production and sale of 600 widgets?" by subtracting the profit for 600 widgets from the profit for 1800 widgets.$	$P_{1800} - P_{600} = 6300 - 1800 = 4500$	Theory & Tactics Method Card TRANS1-D Click to view full details

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Final Answer

C

Question

A manufacturer sells widgets for 12 dollars each. It costs the manufacturer 9 dollars per widget to produce 600 widgets and 8.5 dollars per widget to produce 1800 widgets. How much greater will the manufacturer's gross profit be from the production and sale of 1800 widgets than from the production and sale of 600 widgets?

Answer Choices

A. $3000$
B. $3600$
C. $4500$
D. $5400$
E. $6000$

Steps

Explanation	Calculations	Help
$We first establish variables for revenue, cost, and profit for 600 and 1800 widgets.$	$R_{600}, C_{600}, P_{600}, R_{1800}, C_{1800}, P_{1800}$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "manufacturer sells widgets for 12 dollars each" and "production and sale of 600 widgets" using the revenue formula.$	$R_{600} = 12 \times 600 = 7200$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "costs the manufacturer 9 dollars per widget to produce 600 widgets" using the cost formula.$	$C_{600} = 9 \times 600 = 5400$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We calculate profit for 600 widgets using the profit formula.$	$P_{600} = R_{600} - C_{600} = 7200 - 5400 = 1800$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "manufacturer sells widgets for 12 dollars each" and "production and sale of 1800 widgets" using the revenue formula.$	$R_{1800} = 12 \times 1800 = 21600$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "8.5 dollars per widget to produce 1800 widgets" using the cost formula.$	$C_{1800} = 8.5 \times 1800 = 15300$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We calculate profit for 1800 widgets using the profit formula.$	$P_{1800} = R_{1800} - C_{1800} = 21600 - 15300 = 6300$	Theory & Tactics Method Card TRANS3-A Click to view full details
$We translate "How much greater will the manufacturer's gross profit be from the production and sale of 1800 widgets than from the production and sale of 600 widgets?" by subtracting the profit for 600 widgets from the profit for 1800 widgets.$	$P_{1800} - P_{600} = 6300 - 1800 = 4500$	Theory & Tactics Method Card TRANS1-D Click to view full details

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Final Answer

C