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29 Jul 2025, 11:19
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
80% (01:31) correct
20% (02:10) wrong based on 5 sessions
History
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Time
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A manufacturer has 1,200 units of product A and 1,800 units of product B in stock. The two products can be sold separately or combined to create a bundle. The manufacturer can sell product A for $10 per unit, product B for $15 per unit, or the bundle for $23 per unit. If the manufacturer wants to sell all of its products and maximize its revenue, what is the maximum revenue the manufacturer can earn?
A. $24,000
B. $36,600
C. $39,000
D. $39,600
E. $43,200
A. $24,000
B. $36,600
C. $39,000
D. $39,600
E. $43,200
16 Aug 2025, 00:14
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Explanation
We have:
Product A: 1,200 units, can be sold at $10 per unit.
Product B: 1,800 units, can be sold at $15 per unit.
Bundle: Contains one unit of A and one unit of B, sold at $23 per bundle.
The goal is to sell all units (no leftovers) and maximize revenue.
Sell All Separately
Revenue from A: 1,200 units * $10 = $12,000
Revenue from B: 1,800 units * $15 = $27,000
Total Revenue: $12,000 + $27,000 = $39,000
First, determine how many bundles we can make. Each bundle uses 1 A and 1 B.
Maximum bundles possible = min(1,200 A, 1,800 B) = 1,200 bundles.
Revenue from bundles:
1,200 bundles * $23 = $27,600
After making 1,200 bundles:
A's left: 1,200 - 1,200 = 0
B's left: 1,800 - 1,200 = 600
Revenue from remaining B's:
600 B's * $15 = $9,000
Total Revenue: $27,600 (bundles) + $9,000 (remaining B's) = $36,600
Answer: C
We have:
Product A: 1,200 units, can be sold at $10 per unit.
Product B: 1,800 units, can be sold at $15 per unit.
Bundle: Contains one unit of A and one unit of B, sold at $23 per bundle.
The goal is to sell all units (no leftovers) and maximize revenue.
Sell All Separately
Revenue from A: 1,200 units * $10 = $12,000
Revenue from B: 1,800 units * $15 = $27,000
Total Revenue: $12,000 + $27,000 = $39,000
First, determine how many bundles we can make. Each bundle uses 1 A and 1 B.
Maximum bundles possible = min(1,200 A, 1,800 B) = 1,200 bundles.
Revenue from bundles:
1,200 bundles * $23 = $27,600
After making 1,200 bundles:
A's left: 1,200 - 1,200 = 0
B's left: 1,800 - 1,200 = 600
Revenue from remaining B's:
600 B's * $15 = $9,000
Total Revenue: $27,600 (bundles) + $9,000 (remaining B's) = $36,600
Answer: C
