Question: QUESTION 1 (20 MARKS) a. Fatimah's initial salary per year was RM 3000. He is given a rise in salary of RM150 each year. Find


QUESTION 1 (20 MARKS) a. Fatimah's initial salary per year was RM 3000. He is given a rise in salary of RM150 each year. Find i. Fatimah's salary on the 10" year of service, (3 marks) ii. the total salary she received after 10 years of service. (3 marks) b. Evaluate the definite integral [ vx(1-/x) dx. (4 marks) C. Chef Sham is going to make several chocolate cakes and sponge cakes, where each chocolate cake needs 5 eggs and each sponge cake needs 7 eggs. Chef Sham plans to make not more than 7 chocolate cakes and at least 3 sponge cakes. He can make profit of RM 6 and RM 3 from selling each chocolate cake and each sponge cake respectively. He wants to earn the maximum profit but there are only 70 eggs available. i. State the objective function. (2 marks) li. State the constraint in the form of inequalities. (2 marks) iii. Sketch and identify the feasible region on a graph. (4 marks) iv. Determine the maximum profit and the optimum number of cake to be made. (2 marks)
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