Apples cost $3 per pound and pears cost $2 per pound. You have $30 to spend and

Question

Apples cost $3 per pound and pears cost $2 per pound. You have $30 to spend and wish to maximize the number of pounds of fruit that you buy. If x represents the number of pounds of apples that you buy and y represents the number of pounds of pears that you buy, which of the following can be used to determine the maximum number of pounds of fruit that can be bought? i) Solve 2y = 30 (the value of y is the answer) ii) Solve 3x = 30 (the value of z is the answer) iii) Maximize x + y if 3x + 2y = 30 and x greaterthanorequalto 0, y greaterthanorequalto 0 (the value of x + y is the answer) (a) i only (b) ii only (c) iii only (d) i and iii (e) ii and iii

Explanation / Answer

From the given system, we can see that rate of pears is less than apple, So if we buy only pears then we will get maximum no of pears with same cost, So we need to solve 2y=60 for maximum value of x+y.

Hence, we need to solve only equation first.

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