Question

A shopkeeper sells x pens and y pencils which cost RM3 and RM1 each respectively. The minimum totalsales of the pencils sold is RM900. The number of pencils sold is at least twice the number of pens sold. The maximum number of pencils sold is 900. question:

write three linear inequalities which represent the above situation.

Answer 1

The three linear inequalities representing the shopkeeper's sales scenario are RM1 * y >= RM900, y >= 2x, and y <= 900, which constrain the minimum total sales for pencils, the ratio of pencils to pens sold, and the maximum number of pencils sold, respectively.

Step-by-step explanation:

The situation described involves a shopkeeper selling x pens cost at RM3 each and y pencils at RM1 each. To represent the given situation using linear inequalities, we consider the following information:

• The total sales of pencils must be at least RM900.
• The number of pencils y sold must be at least twice the number of pens x sold.
• The maximum number of pencils sold cannot exceed 900.

The three linear inequalities that represent this situation are:

1. RM1 × y ≥ RM900: This represents the minimum total sales for pencils.
2. y ≥ 2x: This indicates that the number of pencils sold must be at least twice the number of pens sold.
3. y ≤ 900: This specifies the maximum number of pencils that can be sold.

These inequalities can be used to determine the feasible combinations of pens and pencils that the shopkeeper can sell in order to satisfy the conditions specified.