Final answer:
To find the Consumer's Surplus for 1,350 units using the demand function D(q)=-0.014q+35, calculate the market price at q=1,350 and then determine the area of a triangle under the demand curve and above this price.
Step-by-step explanation:
The question involves calculating the Consumer's Surplus for a given demand function, D(q) = -0.014q + 35, when q = 1,350 units. The Consumer's Surplus can be found by determining the area under the demand curve and above the price that consumers actually pay. Since the problem indicates that the demand curve crosses the horizontal axis at q = 2,500, we can deduce that the maximum price consumers would be willing to pay (before demand falls to zero) is at the point where q = 0, which is $35 according to the given demand function.
To calculate the Consumer's Surplus, we first find the price at which q = 1,350 units, which is D(1,350) = -0.014(1,350) + 35. This gives us the actual price consumers pay. Then, the Consumer's Surplus is the area of a triangle with a base of 1,350 units and a height equal to the difference between the maximum price consumers are willing to pay ($35) and the market price for 1,350 units. The formula for the area of a triangle (1/2 base * height) is used to calculate the surplus, which is then rounded to the nearest tenth.