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
Jedidah🎀, let's knock this out. 7. (a) Step 1: Define the variables based on the problem statement. Let x be the number of chairs of type A. Let y be the number of chairs of type B. Step 2: Formulate the inequality for the total cost. The cost of making one chair of each type is K2 000.00. The total cost for x chairs of type A and y chairs of type B is 2000x + 2000y. The shop has K140 000.00 available, meaning the total cost cannot exceed this amount. 2000x + 2000y 140000 Divide the entire inequality by 2000 to simplify: (2000x)/(2000) + (2000y)/(2000) (140000)/(2000) x + y 70 Step 3: Formulate the inequality for the number of chairs of type A. The number of chairs of type A must be at least 20. "At least" means greater than or equal to. x 20 Step 4: Formulate the inequality for the number of chairs of type B. The number of chairs of type B must be at least 10. "At least" means greater than or equal to. y 10 The three inequalities are: x + y 70 x 20 y 10 What's next?