Suppose the demand for a product X produced by a company AAA is given by the following function: QX = 2000 - 250*PX. At what price per item of the product X (EUR) can this copmany maximize its total revenues? Fill in the Table gaps: Demand function Price function Total Revenue (EUR) Marginal Revenue (EUR) Quantity Price per product (EUR) Q = 2000 - 250P P = ? TR = Q*P MR = dTR/dQ = 0 Q = ? P = (2000 - Q)/250   250P = 2000 - Q TR = Q*(2000 - Q)/250 MR = 8 - 2*Q/250 Q/125 = 8 P = (2000 - 1000)/250   P = (2000 - Q)/250 TR = 8*Q - Q^2/250 8 - Q/125 = 0 Q = 1000 P = 4                         Alternative solution Demand function Total Revenue (EUR) Marginal

The weekly demand function is given by p+x+4xp = 68, where x is the number of thousands of units demanded weekly and p is in dollars. If the price pis decreasing at a rate of 91 cents per week when the level of demand is 5000 units, which one of the following statements is true? Demand is decreasing at 1330 units per week Demand is decreasing at 1470 units per week Demand is increasing at 1470 units per week O Demand is increasing at 1400 units per week O Demand is decreasing at 1400 units per week

The manager of a bicycle shop has found that, at a price (in Rands) of p(x) = 150 –x/4 per bicycle, x bicycles will be sold . Answer the following:• Find an expression for the total revenue from the sale of x bicycles. (Hint: Revenue = Demand *Price. )• Find the expression for the quantity to be sold q if the demand function demand is given byp = -10q + 3200• What is the number of bicycles x, sold if the price is R40

The demand function for product is p = -4q+400 and the average cost for producing q units 500 is c = 37q + 40 + where p= price, and q= quantity demand. 2 9 1. 2. 3. 4. Compute the point elasticity of demand and find the intervals where the demand is inelastic, elastic, and the price for which the demand is unit elastic. Find the quantity that maximizes the total revenue and the corresponding price. Interpret your result. Find the quantity that minimizes the average cost function and the corresponding price. Interpret your results. What are the quantity and the price that maximize the profit? What is the maximum profit? Interpret your result.