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Question 1 [It] marks]: The manager of a fashion manufacturing company estimates that the company's annual sales (in millions of Ringgit Malaysia] can be modelled
Question 1 [It] marks]: The manager of a fashion manufacturing company estimates that the company's annual sales (in millions of Ringgit Malaysia] can be modelled by the function h e' L so. v. :} = xz (s. 155}? + stay")? I.- if RM x thousand is dedicated to design and development expenses1 RM y thousand is spent on marketing and advertising1 and 3 million workerhours are employed each year. This year. the manager proposed allocating budgets of RM 3, for the design team, RM ESJJDD for the marketing department, and engaging [5.000.993 worker hours. {a} Compute the first partial derivatives of 3(1. =, s} using the current values of I, y, and 3, and give your answers correct to 3 decimal places. Then, interpret the results in this context. {5 marks} {b} The manager of the company decides to employ a fixed amount of l worker hours this year but suggests reconsidering the budget allocation to the design team and the marketing department. Use total differential to discuss how will the changes in the budget allocations affect the company's annual sales. {5 marks}
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