Question: I need help on this question + explanation please. The Smith household allocates its monthly grocery budget between vegetables (W and other food (F). The

I need help on this question + explanation please.

I need help on this question + explanation please. The Smith household

The Smith household allocates its monthly grocery budget between vegetables (W and other food (F). The Smiths' preferences are represented by the utility mction U(3_,E) = Vo-zFO-B. a. What is their marginal rate of substitution of vegetables for other food, MRSVF? (3 points) b. Suppose the Smiths' grocery budget is $140/Inonth, the price of vegetables is $5 per pound, and the price of other food is $2 per pound. Use the tangency condition and the budget constraint to write a system of two equations in two unknowns where the unknowns are F and V. Then, solve for the quantities of V and F that the Smiths choose to consume at these prices. (5 points)

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