Windies Cricket manufactures Windies supporter jerseys. The quantity q, of these jerseys demanded weekly is related to the wholesale price per jersey p, by the following equation: ? = −0.006? + 15 The weekly total cost incurred by Windies Cricket for producing q jerseys is: ?(?) = 38? − 0.02?2 + 30,000 a. Determine an expression to represent the weekly Revenue function b. Determine an expression to represent the weekly Profit function. c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold. d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450 jerseys? e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, what range(s) of Windies jerseys should be produced. f. Calculate the equilibrium price and quantity for Windies jerseys.

E Let the demand function for a product be given by the function D(q) = -1.65g + 270, where q is the quantity of items in demand and D(q) is the price per item, in dollars, that can be charged when q units are sold. Suppose fixed costs of production for this item are $4, 000 and variable costs are $3 per item produced. If 96 items are produced and sold, find the following: A) The total revenue from selling 96 items (to the nearest penny). Answer: $ B) The total costs to produce 96 items (to the nearest penny). Answer: $ C) The total profits to produce 96 items (to the nearest penny. Profits may or may not be negative.). Answer: $ Question Help: C ME PE Video 66°F Mostly cloudy

Here is the production cost function, in $ of producing q units of a product: 2200 C(q) = 300 +0.8q2 + %3D and the demand function of the product is: p(x) = 200 - 0.05q a. Determine the marginal cost, marginal revenue and marginal profit when q=50 and q=150? b. Interpret the results of the calculation in part (a) if it is related to cost, revenue and profit?

Answer all parts (a)-(g) of this question.Mette has started Mersea Oysters. She aims to export oysters to Germany where she acts as aprice taker. After a couple of nights of calculations she believes that her cost function is givenby C(q) = 100 + 6q + 2q2, where q denotes kilos of oysters harvested. The market price shewill face in Germany is 50 per kilo.(a) [4 marks] Derive Mette’s marginal cost function.(b) [7 marks] Use your result from (a) to determine the profit-maximizing output level.(c) [7 marks] Explain in words why the supply function for a price taker is the same as themarginal cost function.(d) [8 marks] Calculate Mette’s profit. Illustrate marginal cost and profit in a diagram.(e) [8 marks] Now instead assume that the price is 22. Should Mette produce at this price?(f) [8 marks] Assume again that the price is 22 but that the fixed cost of producing (100) issunk and was taken in the previous period. Should Mette produce at this price in this case?(g) [8 marks] Assume again…