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3. For this question, want to think about the indifference curves and budget constraint as well as resulting equilibrium. Sup

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Given that U = S + 10P being the utility function. Then, MRS = -MUS/MUP = -1/10 or MRS = -0.1

a) MRS is a constant value which implies that the two goods are perfect substitutes. This is because the utility

function is linear indicating that MRS is constant.

b) Now slope of budget equation is Price of S/Price of P = -1000/50 = -20

Since MRS is less than the slope of budget equation, there is a corner solution

Here, at the equilibrium, Prescription drugs are generating more utility since MUS/Price of S < MUP/Price of P.

Hence, only Prescription drugs are consumed at the equilibrium

(We are not given the budget. If we assume it to be M, then the equilibrium allocation will be (S = 0, P = M/50)

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