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?

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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?

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Velda

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110 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

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