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04 Dec 2024, 09:00
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Number of solid chairs: 280
Number of leather chairs: 160
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (02:30) correct
15%
(02:39)
wrong
based on 248
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Not Attempted Yet
Fran’s Furniture produces upholstered chairs. The price of fabrics chosen will affect the cost of manufacturing each chair. Customers can choose a solid fabric, a patterned fabric, or leather, each at a different price. Based on market research, Fran’s expects the greatest demand to be for the patterned fabric, so the company wants to keep chairs upholstered in the patterned fabric in stock for immediate shipment, while the solid and leather options can be special orders. The sales department forecasts that the number of patterned chairs sold will be 45% of total sales and will exceed the number of leather chairs by 200. If Fran’s sells 800 upholstered chairs in a year, find the number of chairs with solid upholstery and the number of leather chairs the sales department expects to sell.
| Number of solid chairs | Number of leather chairs | |
| 150 | ||
| 160 | ||
| 180 | ||
| 250 | ||
| 280 | ||
| 360 |
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Official Answer
Number of solid chairs: 280
Number of leather chairs: 160
04 Dec 2024, 11:24
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Bismuth83
Fran’s Furniture produces upholstered chairs. The price of fabrics chosen will affect the cost of manufacturing each chair. Customers can choose a solid fabric, a patterned fabric, or leather, each at a different price. Based on market research, Fran’s expects the greatest demand to be for the patterned fabric, so the company wants to keep chairs upholstered in the patterned fabric in stock for immediate shipment, while the solid and leather options can be special orders. The sales department forecasts that the number of patterned chairs sold will be 45% of total sales and will exceed the number of leather chairs by 200. If Fran’s sells 800 upholstered chairs in a year, find the number of chairs with solid upholstery and the number of leather chairs the sales department expects to sell.
PC LC Solid
(45% of 800 = 360) PC = LC + 200 Solid = Total - PC -LC
So PC = 160 Solid=800-160-360 = 280
Hope it helps
05 Dec 2024, 09:00
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1. The number of patterned chairs will be equal to \(45\% * 800 = 0.45 * 800 = 360\).
2. Then, the number of leather chairs is 200 less or \(360 - 200 = 160\).
3. The remainder will be the number of solid chairs: \(800 - 360 - 160 = 280\).
4. Our answer will be: Number of solid chairs - 280 and Number of leather chairs - 160.
2. Then, the number of leather chairs is 200 less or \(360 - 200 = 160\).
3. The remainder will be the number of solid chairs: \(800 - 360 - 160 = 280\).
4. Our answer will be: Number of solid chairs - 280 and Number of leather chairs - 160.
