a. Your business sells t-shirts to customers. The price-demand function is given below. Re-arrange the price-demand function to get price, p, in terms of x. x = 6000 – 1000p Your answer b. The t-shirt revenue you generate is a function of the price p and the number of shirts sold x. Find the revenue function based on part a. c. Compute the marginal revenue at 1000, 3000, and 5000 units sold. Interpret your results. What do thse values tell you about how the revenue function is changing. To compute marginal revenue, you will need to take the derivative of the revenue function from part b. Your answer Your cost function for producing shirts is given below. Find and interpret the marginal cost. C(x) 3 2500 + 0.5x "our answer

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.