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The profut of a company is determined ...

The profut of a company is determined by the following equation : `P = 50.2 xx N - 236.8`, where 'P' represents the profit of the company and 'N' represents number of units manufactured by the company. What is the minimum number of units produced so as to have no loss incurred ?

A

Minimum number of units manufactured is 3

B

Minimum number of units manufactured is 4

C

Minimum number of units manufactured is 5

D

Minimum number of units manufactured is 6

Text Solution

AI Generated Solution

The correct Answer is:
To find the minimum number of units produced so that the company incurs no loss, we need to determine when the profit \( P \) is greater than or equal to zero. The profit is given by the equation: \[ P = 50.2N - 236.8 \] ### Step 1: Set the profit equation to zero To find the break-even point (where there is no profit or loss), we set \( P \) to zero: \[ 0 = 50.2N - 236.8 \] ### Step 2: Solve for \( N \) Now, we need to solve for \( N \): \[ 50.2N = 236.8 \] Next, divide both sides by 50.2: \[ N = \frac{236.8}{50.2} \] ### Step 3: Calculate the value of \( N \) Now we perform the division: \[ N \approx 4.717 \] ### Step 4: Determine the minimum whole number of units Since \( N \) must be a whole number (you can't produce a fraction of a unit), we round up to the nearest whole number. Thus, the minimum number of units that must be produced to ensure no loss is: \[ N = 5 \] ### Conclusion The minimum number of units produced so as to have no loss incurred is **5**. ---
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