Suppose you are given the following data:
Price per unit of Good A $10
Price per unit of Good B $5
Consumer Income $2,000
What would be the equation for a budget constraint, putting it into slope-intercept form?
The equation of Budget Constraint:
- Price of A * Quantity of A + Price of B * Quantity of B = Income
10*Qa + 5*Qb = 2000
Qa = Quantity of A, Qb = Quantity of B
Now, Slope-intercept form is y = mx + b, where m is a slope, b is intercept
5Qb = 2000 - 10Qa
Qb = 400 - 2 Qa
Qb = - 2 * Qa + 400 is the slope-intercept form of budget constraint.
According to the above equation, the slope of budget constraint is -2, that means for 1 additional unit of good A, the consumer has to give up 2 units of good B.
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