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A tailor makes two types of garments A and B. Garment A requires 3 metres of material while garment B requires 2 ½ metres of material. The tailor uses not more than 600 metres of material daily in making both garments. He must make not more than 100 garments of type A and not less than 80 of type B each day.

  1. Write down all the inequalities from this information. 
  2. Graph the inequalities above 
  3. If the business makes a profit of shs. 80 on garment A and a profit of shs. 60 on garment B, how many garments of each type must it make in order to maximize the total profit?

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  1. Write down all the inequalities from this information.
    (i) 3x + 2 1/2y ≤ 600
    (ii) x ≤ 100
    (iii) Y ≥ 80, x ≥ 0
     
  2. Graph the inequalities above 
    Mathf4et121p2a24
    line 3x + 2 1/2y ≤ 600
    Line x ≤ 100
    Line ≥ 80, x ≥ 0
     
  3. If the business makes a profit of shs. 80 on garment A and a profit of shs. 60 on garment B, how many garments of each type must it make in order to maximize the total profit? 
    The objective functions
    P = 80x + 60y
    100 garments of type A
    120 garments of type B

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