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Suppose there are only two goods - Food (F) and Shelter (S). The demand equations for these two goods depend on their prices, p F

Suppose there are only two goods - Food (F) and Shelter (S). The demand equations for these two goods depend on their prices, p_Fandp_Sas follows:

D_F(p_F,p_S) = 19 - 3.6p_F- 1.6p_S

D_S(p_F,p_S) = 15 - 2.0p_F- 2.7p_S

The supply curves depend only on their own prices:

S(p_F) =p_F

S(p_S) = 6.9p_S

Determine the equilibrium price of shelter.

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