Let the supply and demand functions for sugar be given by p = S(q) = 1.4q - 0.6 and P = D(q) = -2q + 3.2, where p is the price per pound and q is the quantity in thousands of pounds. Find the equilibrium quantity and the equilibrium price.
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4q + 0.6 = -2q + 3.2 Now, we can solve for q: 1.4q + 2q = 3.2 - 0.6 3.4q = 2.6 q = \frac{2.6}{3.4} = \frac{13}{17} So, the equilibrium quantity is $\boxed{\frac{13}{17}}$ thousand pounds. Show more…
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