Find the Domain p=250-5q

Problem

p=250−5*q

Solution

1. Identify the variables in the context of a demand or supply function, where p represents price and q represents quantity.

2. Apply the non-negativity constraint for quantity, as a physical amount cannot be negative.

q≥0

3. Apply the non-negativity constraint for price, as price is typically not negative in standard economic models.

p≥0

4. Substitute the expression for p into the price constraint to find the upper bound for q

250−5*q≥0

5. Solve the inequality for q by subtracting 250 from both sides.

−5*q≥−250

6. Divide by −5 and reverse the inequality sign.

q≤50

7. Combine the constraints to determine the interval of valid q values.

0≤q≤50

Final Answer

Domain:[0,50]

Want more problems? Check here!