Question

8. Find the consumer surplus when the sales level is 100 if the demand curve is given by p(x) = 1000−43 6 √ x.

9. Estimate the cardiac output using Simpson’s rule if 5mg of dye in injected into a pulmonary artery and 6 the concentration measurements from a peripheral artery near the aorta are as shown in the table below. t (min) 0 1 2 3 4 5 6 7 8 9 10 11 12 c(t) (mg/L) 0 0.04 0.15 0.48 0.86 0.72 0.48 0.26 0.15 0.09 0.05 0.01 0

10. Sketch the graph given by x = cos 2t, y = sin t, −π ≤ t ≤ π indicating the orientation; and find a 6 Cartesian equation for the curve by eliminating the parameter.

Answer #1

So given the demand function the consumer surplus at sales level of 100 is, CS = 14533.33

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