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23 Mar 2026, 05:15
Kudos
Bookmarks
Desktop: 200
Laptop: 100
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
57% (03:28) correct
43%
(03:25)
wrong
based on 117
sessions
History
Date
Time
Result
Not Attempted Yet
A budget of $100,000 is allocated for the purpose of purchasing computers, both desktop computers and laptops. The price of a desktop and a laptop is $200 and $650, respectively. The retailer has agreed to reduce the price of computers depending on the size of the order according to the following formula:
If x and y are the number of units of desktops and laptops ordered, the price of individual units is 200 - (x/10), and 650 - (y/10), respectively.
In the table given below, determine the number of desktop computers and laptops the company will be able to purchase using $100,000 completely. Make only two selections, one in each column.
If x and y are the number of units of desktops and laptops ordered, the price of individual units is 200 - (x/10), and 650 - (y/10), respectively.
In the table given below, determine the number of desktop computers and laptops the company will be able to purchase using $100,000 completely. Make only two selections, one in each column.
| Desktop | Laptop | Number of computers |
| 50 | ||
| 100 | ||
| 150 | ||
| 200 | ||
| 250 |
ShowHide Answer
Official Answer
Desktop: 200
Laptop: 100
23 Mar 2026, 06:12
Kudos
Bookmarks
23 Mar 2026, 08:07
Kudos
Bookmarks
Hi there,
Great question! Let me walk you through this step by step.
The Setup:
We have $100,000 to spend on x desktops and y laptops. Due to the bulk discount formula:
- Cost per desktop = (200 - x/10), so total desktop spend = x × (200 - x/10)
- Cost per laptop = (650 - y/10), so total laptop spend = y × (650 - y/10)
We need: Desktop Spend + Laptop Spend = $100,000
The Strategy:
Since both x and y must come from the same set of 5 choices, let's compute the total spend for each possible value.
Desktop spend for each x:
- x = 50: 50 × (200 - 5) = 50 × 195 = $9,750
- x = 100: 100 × (200 - 10) = 100 × 190 = $19,000
- x = 150: 150 × (200 - 15) = 150 × 185 = $27,750
- x = 200: 200 × (200 - 20) = 200 × 180 = $36,000
- x = 250: 250 × (200 - 25) = 250 × 175 = $43,750
Laptop spend for each y:
- y = 50: 50 × (650 - 5) = 50 × 645 = $32,250
- y = 100: 100 × (650 - 10) = 100 × 640 = $64,000
- y = 150: 150 × (650 - 15) = 150 × 635 = $95,250
- y = 200 and y = 250 already exceed $100,000 on their own, so we can ignore these.
Now Find the Pair That Sums to $100,000:
We check which desktop spend + laptop spend = $100,000.
$36,000 (x = 200) + $64,000 (y = 100) = $100,000 ✓
No other combination from these lists adds up to exactly $100,000.
So the answer is: Desktop Computers = 200 (Row 4) and Laptops = 100 (Row 2).
Answer: Row 4 for Column A (Desktop), Row 2 for Column B (Laptop)
Key Insight: The key trick here is to not get intimidated by the discount formula. Just compute the total spend for each option separately, then find the pair that hits the budget exactly.
Great question! Let me walk you through this step by step.
The Setup:
We have $100,000 to spend on x desktops and y laptops. Due to the bulk discount formula:
- Cost per desktop = (200 - x/10), so total desktop spend = x × (200 - x/10)
- Cost per laptop = (650 - y/10), so total laptop spend = y × (650 - y/10)
We need: Desktop Spend + Laptop Spend = $100,000
The Strategy:
Since both x and y must come from the same set of 5 choices, let's compute the total spend for each possible value.
Desktop spend for each x:
- x = 50: 50 × (200 - 5) = 50 × 195 = $9,750
- x = 100: 100 × (200 - 10) = 100 × 190 = $19,000
- x = 150: 150 × (200 - 15) = 150 × 185 = $27,750
- x = 200: 200 × (200 - 20) = 200 × 180 = $36,000
- x = 250: 250 × (200 - 25) = 250 × 175 = $43,750
Laptop spend for each y:
- y = 50: 50 × (650 - 5) = 50 × 645 = $32,250
- y = 100: 100 × (650 - 10) = 100 × 640 = $64,000
- y = 150: 150 × (650 - 15) = 150 × 635 = $95,250
- y = 200 and y = 250 already exceed $100,000 on their own, so we can ignore these.
Now Find the Pair That Sums to $100,000:
We check which desktop spend + laptop spend = $100,000.
$36,000 (x = 200) + $64,000 (y = 100) = $100,000 ✓
No other combination from these lists adds up to exactly $100,000.
So the answer is: Desktop Computers = 200 (Row 4) and Laptops = 100 (Row 2).
Answer: Row 4 for Column A (Desktop), Row 2 for Column B (Laptop)
Key Insight: The key trick here is to not get intimidated by the discount formula. Just compute the total spend for each option separately, then find the pair that hits the budget exactly.
