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The firm is considering manufacturing a second product in its factory alongside the first. The demand functions for the two products are: Qd1=180 - 4P1
Qd2=90 - 2P2 where the subscripts 1 and 2 refer to product 1 and product 2, respectively. The firm now faces a total cost function: TC= Q+150where Q= Q1 + Q2
a) Dtermine the new total profit function for the firm as a function of Q1 and Q2.
b) Using your new profit function measured in part (b)(i) find the level of output for every product at the profit maximising point and display your outcome is a maximum.
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A thick walled cylinder has internal and external diameters of 120 mm and 420 mm respectively. It is made from a ductile elastic material of your choice and is used to contain hot
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