If a household has an income of $40 and buys only bus rides at $2 each and magazines at $4 each, what is the equation of the household's budget line?
What will be an ideal response?
The budget equation states that a household's spending must equal its income. The budget equation is derived for two goods, bus rides and magazines. The amount spent on bus rides is (Pbus ride)×(Qbus ride), the amount spent on magazines is (Pmagazine)×(Qmagazine), and the consumer's income is y. We know that (Pmagazine)×(Qmagazine) + (Pbus ride)×(Qbus ride) = y. Rearrange this equality by subtracting the amount spent on bus rides from both sides to give (Pmagazine)×(Qmagazine) = y – (Pbus ride)×(Qbus ride). Finally, divide both sides by the price of magazine to give the budget equation Qmagazine = y/Pmagazine – (Pbus ride /Pmagazine)×(Qbus ride). Substituting in our values, y = $40, P bus ride = $2 and P magazine = $4, gives Qmagazine = $40/$4 – ($2/$4)×(Qbus ride) which is equal to Qmagazine = 10 – 0.5 Qbus ride
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What will be an ideal response?
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