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Learning curve (based on 2023 exam) Robotics company manufactures robots designed for healthcare applications. In February 2023 the company wins a bid to produce 8 robots of its newest model. The estimated production costs are as follows: Direct material cost per robot $200,000 Direct labor time per robot | 2,500 hours Direct labor rate | $30 per hour Facility-related manufacturing overhead cost* $20 per direct labor hour Supporting overhead cost** 10% of direct material cost * Facility-related manufacturing overhead cost is allocated based on direct labor hour. ** Supporting overhead cost is allocated based on direct material cost. Robotics has an 80% learning curve. And the company pricing policy is based on full production cost plus a mark up of 35%. Required: a) Calculate the following: i) The selling price of the first robot manufactured. (5 marks) ii) The prices of both the first and second robots manufactured if bought together. (7 marks) iii) | The prices of the third and fourth robots manufactured if the first two have already been sold when the order is placed. (9 marks) iv) If all 8 robots are sold to one customer what price would be charged per robot. (9 marks) b) Assume that the first 7 robots have already been purchased by a customer. Another customer orders the 8th robot. What would be the selling price of that 8th robot? (you should use the mathematical method to support your calculations, a 80% learning curve means the learning coefficient, b = - 0.321928) (10 marks) (10 marks) Total: 40 marks