This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's the solution to the problem: a) Let x be the number of dresses and y be the number of suits. i) The number of dresses should not exceed 50. x 50 ii) The number of dresses should not be less than the number of suits. x y iii) The cost of making a dress is K140.00 and that of a suit is K210.00. The total cost should be at least K10 500.00. 140x + 210y 10500 Dividing by 10: 14x + 21y 1050 Dividing by 7: 2x + 3y 150 Additionally, since the number of dresses and suits cannot be negative: x 0 y 0 b) To draw the graph and shade the unwanted region, follow these steps: Step 1: Draw the x and y axes on graph paper. Use a scale of 2cm to represent 10 units on both axes. Label the x-axis from 0 to 60 and the y-axis from 0 to 80. Step 2: Draw the boundary lines for each inequality. For x 50, draw the vertical line x = 50. For x y (or y x), draw the line y = x. (Points: (0,0), (10,10), (50,50)) For 2x + 3y 150, draw the line $2x + 3y = 150