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Formulate inequalities for the given constraints on the number of dresses (x) and suits (y) and represent them graphically.
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2 stepsHere's the solution to the problem:
Part a(i)
The number of dresses should not exceed 50.
Let be the number of dresses and be the number of suits.
Part a(ii)
The number of dresses should not be less than the number of suits.
Part a(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.
Dividing by 10:
Dividing by 7:
Additionally, since the number of dresses and suits cannot be negative:
Part b· 2 steps
To draw the graph and shade the unwanted region, follow these steps
Draw the and axes on graph paper.
Use a scale of 2cm to represent 10 units on both axes.
Label the -axis from 0 to 60 and the -axis from 0 to 80.Draw the boundary lines for each inequality.
- For , draw the vertical line .
- For (or ), draw the line . (Points: )
- For , draw the line $2x + 3y = 150
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