Suppose the demand function for a product is given by the function: \[ D(q)=-0.013 q+59.8 \] Find the Consumer's Surplus corresponding to $q=3,600$ units. (Do no rounding of results until the very end of your calculations. At that point, round to the nearest tenth, if necessary. It may help you to sketch the demand curve, which crosses the horizontal at $q=4,600$.) Answer: dollars

Step 1 ：Given the demand function for a product is \(D(q)=-0.013 q+59.8\). We are asked to find the Consumer's Surplus corresponding to \(q=3,600\) units.

Step 2 ：The consumer surplus is the area between the demand curve and the price level up to the quantity demanded. In this case, the demand curve is a straight line, so the consumer surplus forms a triangle.

Step 3 ：The area of a triangle is given by the formula \(1/2 \times \text{base} \times \text{height}\). The base of the triangle is the quantity demanded, which is 3600 units.

Step 4 ：The height of the triangle is the difference between the price at zero quantity and the price at the quantity demanded. The price at zero quantity is given by the demand function \(D(q)\) at \(q=0\), and the price at the quantity demanded is given by the demand function \(D(q)\) at \(q=3600\).

Step 5 ：So, we need to calculate these two prices, subtract them to get the height of the triangle, and then calculate the area of the triangle.

Step 6 ：Let's calculate the price at zero quantity: \(D(0) = -0.013 \times 0 + 59.8 = 59.8\)

Step 7 ：Next, calculate the price at the quantity demanded: \(D(3600) = -0.013 \times 3600 + 59.8 = 13\)

Step 8 ：The height of the triangle is the difference between these two prices: \(59.8 - 13 = 46.8\)

Step 9 ：Now, we can calculate the area of the triangle, which is the consumer surplus: \(1/2 \times 3600 \times 46.8 = 84240.0\)

Step 10 ：Final Answer: The Consumer's Surplus corresponding to \(q=3,600\) units is \(\boxed{84240.0}\) dollars.