Question 1 A company is selling two type of product, a standard version Product A, and a special version Product B. Product A will go through the cleaning machine for 2 minutes, packing machine for 1 minute and sealing machine for 2 minutes. While Product B will go through 3 minutes of cleaning machine, 2 minutes of packing machine, and 1 minute of sealing machine. The company can only utilize 130 minutes, 80 minutes and 100 minutes each machine per day for both products. a) Based on the info given above, find the following. i. List all the inequalities for the constraints. (4 marks) ii. Construct the graph that satisfies all the constraints. You may sketch the graph on paper or you can use any web tools to draw the graph. Label the feasible region and all the corner points. (5 marks) iii. Identify and calculate all the corner points in the feasible region. Show all necessary working steps. (13 marks) b) You are required to find two type of products under the SAME BRAND but DIFFERENT PRICE from any online stores. [EXAMPLE.: Product A: Johnson's Baby Milk Bath 600ml (RM10.95) and Product B: Johnson's Baby Peach Bath 1000ml (RM34.95)] i. Attach the screenshot for the price of the two products you found. (4 marks) ii. Assuming the profit for each product is 15% of the selling price from the screenshot, determine the profit function for Product A and Product B. (3 marks) Using your answer in part (a) and part (b), determine the maximum profit that can be obtained from selling the two products. (6 marks) C) Question 1 A company is selling two type of product, a standard version Product A, and a special version Product B. Product A will go through the cleaning machine for 2 minutes, packing machine for 1 minute and sealing machine for 2 minutes. While Product B will go through 3 minutes of cleaning machine, 2 minutes of packing machine, and 1 minute of sealing machine. The company can only utilize 130 minutes, 80 minutes and 100 minutes each machine per day for both products. a) Based on the info given above, find the following. i. List all the inequalities for the constraints. (4 marks) ii. Construct the graph that satisfies all the constraints. You may sketch the graph on paper or you can use any web tools to draw the graph. Label the feasible region and all the corner points. (5 marks) iii. Identify and calculate all the corner points in the feasible region. Show all necessary working steps. (13 marks) b) You are required to find two type of products under the SAME BRAND but DIFFERENT PRICE from any online stores. [EXAMPLE.: Product A: Johnson's Baby Milk Bath 600ml (RM10.95) and Product B: Johnson's Baby Peach Bath 1000ml (RM34.95)] i. Attach the screenshot for the price of the two products you found. (4 marks) ii. Assuming the profit for each product is 15% of the selling price from the screenshot, determine the profit function for Product A and Product B. (3 marks) Using your answer in part (a) and part (b), determine the maximum profit that can be obtained from selling the two products. (6 marks) C)
