Question
In: Math
A bicycle shop sells two styles of a road bike, 10-speed and 14-speed. During the month...
A bicycle shop sells two styles of a road bike, 10-speed and 14-speed. During the month of September, the management expects to sell exactly 45 road bikes. The monthly profit is given by P(x,y)=−(1/9)x^2−5y^2−(1/9)xy+10x+65y−100, where x is the number of 10-speed road bikes sold and y is the number of 14-speed road bikes sold. How many of each type should be sold to maximize the profit in September?
Solutions
milcah answered 2 years agoRelated Solutions
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Greg’s Bicycle Shop has the following transactions related to its top-selling Mongoose mountain bike for the...
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its top-selling Mongoose mountain bike for the month of
March. Greg's Bicycle Shop uses a periodic inventory system.
Date
Transactions
Units
Unit Cost
Total Cost
March
1
Beginning inventory
20
$
245
$
4,900
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5
Sale ($390 each)
15
March
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Purchase
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Greg’s Bicycle Shop has the following transactions related to its top-selling Mongoose mountain bike for the...
Greg’s Bicycle Shop has the following transactions related to
its top-selling Mongoose mountain bike for the month of
March. Greg's Bicycle Shop uses a periodic inventory system.
Date
Transactions
Units
Unit Cost
Total Cost
March
1
Beginning inventory
20
$
190
$
3,800
March
5
Sale ($280 each)
15
March
9
Purchase
10
210
2,100
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17
Sale ($330 each)
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March
22
Purchase
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220
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27
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Greg’s Bicycle Shop has the following transactions related to its top-selling Mongoose mountain bike for the...
Greg’s Bicycle Shop has the following transactions related to
its top-selling Mongoose mountain bike for the month of
March. Greg's Bicycle Shop uses a periodic inventory system.
Date
Transactions
Units
Unit Cost
Total Cost
March
1
Beginning inventory
20
$
175
$
3,500
March
5
Sale ($250 each)
15
March
9
Purchase
10
195
1,950
March
17
Sale ($300 each)
8
March
22
Purchase
10
205
2,050
March
27
Sale ($325 each)
12
March
30
Purchase
8
225
1,800
$...
Greg’s Bicycle Shop has the following transactions related to its top-selling Mongoose mountain bike for the...
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its top-selling Mongoose mountain bike for the month of
March. Greg's Bicycle Shop uses a periodic inventory system.
Date
Transactions
Units
Unit Cost
Total Cost
March
1
Beginning inventory
20
$
195
$
3,900
March
5
Sale ($290 each)
15
March
9
Purchase
10
215
2,150
March
17
Sale ($340 each)
8
March
22
Purchase
10
225
2,250
March
27
Sale ($365 each)
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March
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Greg’s Bicycle Shop has the following transactions related to its top-selling Mongoose mountain bike for the...
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its top-selling Mongoose mountain bike for the month of
March. Greg's Bicycle Shop uses a periodic inventory system.
Date
Transactions
Units
Unit Cost
Total Cost
March
1
Beginning inventory
20
$
225
$
4,500
March
5
Sale ($350 each)
15
March
9
Purchase
10
245
2,450
March
17
Sale ($400 each)
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March
22
Purchase
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March
27
Sale ($425 each)
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March
30
Purchase
7
275
1,925
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