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 s
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
likes
1237 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?
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
Frequently asked questions (FAQs)
Math question: "Factor the expression 6x^2 - 9x + 15 using the distributive property.
+
A car dealership sells 200 cars per month with a 20% chance of selling an electric car. What's the probability that they sell exactly 40 electric cars this month?
+
What is the equation of an ellipse with major axis length 8 units and minor axis length 5 units centered at the origin?