1.The costs of tea A and tea B are $93.50/kg and $55/kg respectively. A shopkeeper mixes some tea A with some tea B to produce 14 kg of tea C. If the cost of tea C is $82.50/kg, find the weights of tea A and tea B used respectively to produce tea C.

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2:16 0 . . . Semester 223 Problem 4: (17 marks) The graph below shows the demand and supply of Product A, where q represents the quantity (in 10,000 units) and p represents the price (in thousands of dollars). curve 2 (5.6, 9.84) (0, 9.8) (1, 3.4) curve 1 (3.56, 0.9) a. Given the coordinates shown, find the equations for curve 1 and curve 2. (5 marks) b. Identify the demand and supply functions for Product A, briefly explain your reasoning. (3 marks) c. Find the intersection point of curve 1 and curve 2, briefly explain its meaning. (4 marks) d. Suppose the government announces a recent tax break is ending for several products, including Product A. If the tax is $171.60 per 10,000 units, find the new supply equation and new intersection point. Explain the meaning of this new point. (5 marks) O