Question
For a radio manufacturer, the cost of labor and materials per radio is $20 and fixed costs are $2,000 per day. If each radio sells for $30, how many radios must be produced and sold each day to earn zero profit?
247
likes1237 views
Answer to a math question For a radio manufacturer, the cost of labor and materials per radio is $20 and fixed costs are $2,000 per day. If each radio sells for $30, how many radios must be produced and sold each day to earn zero profit?
Velda
4.5110 Answers
1. Define the variables and write the equations for total cost and revenue:
\text{Total cost} = 20x + 2000
\text{Revenue} = 30x
2. Set the profit equation to zero and solve for \( x \):
30x - (20x + 2000) = 0
30x - 20x - 2000 = 0
10x - 2000 = 0
10x = 2000
x = 200
3. Therefore, the number of radios needed to earn zero profit is:
200
2. Set the profit equation to zero and solve for \( x \):
3. Therefore, the number of radios needed to earn zero profit is:
Frequently asked questions (FAQs)
Math question: Find the 3rd higher-order derivative of f(x) = 5x^4 + 3x^2 - 7x + 2.
+
What is 50% written as a fraction?
+
Question: What is the result of dividing 2/3 by 4/5?
+
New questions in Mathematics