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- D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point.The manager of a supermarket chain has studied the supply and demand for blueberries. She has determined that the demand for blueberries is given by p=8.7- 0.6q where is the quantity measured in hundreds of kilograms per month and is the price in dollars per 100g. The supply for blueberries is given by p= 0.2q-0.9 a) Find the equilibrium quantity and the equilibrium price for blueberries. b) Suppose the price of blueberries is $2.70 per 100g. Will there be a surplus or a shortage of blueberries?What is the equilibrium solution of the equation y '(t) = 2y - 4? Is itstable or unstable?
- B(Q) = 100 + 36Q – 4Q2 and C(Q) =80 + 12Q. What is N(Q)? What are the net benefits when Q = 1? Q = 5?Net benefits when Q = 1: $ Net benefits when Q = 5: $ Write out the equation for the marginal net benefits. What are the marginal net benefits when Q = 1? Q = 5? What level of Q maximizes net benefits? Q = At the value of Q that maximizes net benefits, what is the value of marginal net benefits? MNB =What is the general solution of differantial equation? Whicf of the options x² - y² + xy dy/dx =0In the linear regression equation y = -2x + 3, it shows that A. as x increases, y also increasesB. as x increases, y moves constantlyC. as x increases, y moves independentlyD. none of theseE. as x increases, y decreases
- The demand and supply functions for a commodity are given belowp=D(q)=81e^-0.048qp=S(q)=19e^0.044q equilibrium qty.= ? equilibrirum price = ? Consumer surplus = ? Producer surplus = ?The supply and demand for a product are given by 2p − q = 70 and pq = 200 + 20q, respectively. Find the market equilibrium point. (q, p) =What is the stability of equilibrium points of A and B? Is the energy of B higher than A?