**Answer:**

**Constraint A is represented by 0.9x + 0.3y ≤ 10,000**

**Explanation:**

Linear programming is a mathematical model that is used to solve a problem when a firm wants to maximize profit in the midst of multiple resource constraints.

The following steps should be followed:

<em>Step 1: Define the variables</em>

x= the gallons of oil-based paint

y= the gallons of water-based paint

<em>Step 2: Define the constraints:</em>

The constraints represent the limitations which could be resource; in this case ingredients A and B. Since the constraint in focus is A, so we only consider A

Constraint A = 0.9x + 0.3y ≤ 10,000

Non-negativity constraints x, y ≥ 0

Since the total inventory amount of ingredient A available is 10,000 gallons then the total consumption can either be equal to or less than 10,000, but can never be higher than 10,000

**Constraint A is represented by 0.9x + 0.3y ≤ 10,000**