if you could exactly afford either 4 units of x and 27 units of y, or 9 units of x and 7 units of y, then if you spent all of your income on y, how many units of y could you buy?

A) 23
B) 63
C) 43
D) 13
E) None of the above.

Question

EEE-1 VNR VJIET · Accepted Answer

Final Answer : C, Explanation :  Set up two equations with x and y as variables:4x + 27y = income and9x + 7y = incomeSolve for y in both equations:y = (income - 4x) / 27 andy = (income - 9x) / 7Since we are spending all of our income on y, we can set these two equations equal to each other:(income - 4x) / 27 = (income - 9x) / 7Solving for income, we get:income = 135xSubstituting this back into one of the original equations, we can solve for y:4x + 27y = 135xy = (131/27) xNow we want to find out how many units of y we can buy with all of our income, so we need to find the value of x that maximizes y. We can do this by setting the derivative of y with respect to x equal to zero:dy/dx = (131/27) = 0Solving for x, we get:x = 27Now we can substitute this back into either equation to find the maximum value of y:4(27) + 27y = incomey = 43Therefore, we can buy 43 units of y with all of our income.

if you could exactly afford either 4 units of x and 27 units of y, or 9 units of x and 7 units of y, then if you spent all of your income on y, how many units of y could you buy?

A) 23
B) 63
C) 43
D) 13
E) None of the above.

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Learning Objectives

Related questions

if you could exactly afford either 4 units of x and 27 units of y, or 9 units of x and 7 units of y, then if you spent all of your income on y, how many units of y could you buy?A) 23B) 63C) 43D) 13E) None of the above.

Definitions

Learning Objectives

Learning Objectives

Related questions

if you could exactly afford either 4 units of x and 27 units of y, or 9 units of x and 7 units of y, then if you spent all of your income on y, how many units of y could you buy?

A) 23
B) 63
C) 43
D) 13
E) None of the above.