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An alternative way to do implicit differentiation is to introduce a mythical extra variable t. Think of x and y as both functions of t. Now, use the fact that
(a) Solve for dy/dx.
(b) For the equation x2 + y3 = 6 Find the relationship between the rates of change of x and y as in the previous section.
(c) Use the result of parts (a) and (b) to find y'
Suppose that in the domestic market for computer chips the demand is Pd = 110 Qd . The domestic supply is Ps = 10 + Qs . Foreign suppliers would be willing to supply any number of chips at a price of 30$.
a price change causes the quantity demanded of a good to decrease by 30percent , while the total revenue of that good increases by 15 percent . is the demand curve elastic or inelastic explain.
Demand for flower bouquets in a suburban town is described by: QD = 50 - 5 P + 2 Y, where Q is quantity, P is price per unit, and Y is an index of consumer income. Similarly, supply is described by QS = 10 P - 5.
An office manager is concerned with declining productivity. Despite the fact that she regularly monitors her clerical staff four times each day (9am, 11am, 1pm and 3pm) office productivity has declined 30% since she assumed the helm one year ago.
Cindy consumes goods x and y. Her demand for x is given by x(px, m) = 0.05m -5.15px. Now her income is $419, the price of x is $3, and the price of y is $1. b. Compute the demand of x under the new price.
Suppose that over the past year, the price of laptop computers has fallen from $2,000 to $1,800. Over the same time period, sales to consumers have increased from 700,000 to 800,000 units. Calculate the elasticity of demand between these two point..
Assume that two rms (A and B) produce identical products in a market. The (inverse) market demand curve is P = 240 -Q where Q is total output from both firms Q = qA + qB. Firm A has a total cost function TCA = 100qA and firm B has total cost funct..
Draw the station's demand curve after this advertising campaign. Explain the rule for maximizing profit in this situation, and illustrate it with an appropriate diagram.
Give two examples of changes that would lead to an increased demand for dollars and two examples of changes that would lead to an increased supply of dollars in the foreign exchange market.
Explain what you will do during the implementation event to tilt the balance away from the presentation toward participation.
Office building maintenance plans call for the stripping, waxing, and buffing of ceramic floor tiles. This work is contracted out to maintenance firms, and both technology and labor requirements are very basic.
Suppose that the w=1, r=4 and the production function is given by: Q = K1/3L2/3. This means that the marginal product of labor and marginal product of capital are given by: MPL=(2/3)(K/L)1/3 and MPK=(1/3)(L/K)2/3. If the firm wants to produce 32 unit..
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