1.

On a rainyday , a shopkeeper sells two colours ( black and red ) of umbrellas. He sells not more than 20 umbrellas of each colour. At least twice as many black ones are sold as the red one. If the profit on each of the black umbrellas is Rs. 30 and that of the red ones is Rs. 40 , then how many of each kind must be sold to get a maximum profit ?

Answer»

20,10
30,15
40,20
10,5

Solution :LET thenumber of black umbrella SOLD be x and that of red umbrellas be y.
`x ge 0 and x le 20`
` y ge 0 and y le 20`.
`x ge 2y`.
Profit function p=30x+40y
The maximum profit attains at C(20,10).
The maximum profit =`30xx20+40xx10=600+400=Rs. 1000`.
Number of black umbrella =20.
Number of red umbrellas =10


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