the profit for a production process is equal to $2,000 minus two times the number of units produced. the mean and variance for the number of units produced are 500 and 900, respectively. find the mean and variance of the profits.

Respuesta :

Variance of profit is $3600.

mean variance is $ 360

Let X denote the number of units produce then E(X)=50 abd Var(X)=90

Let Y denote the profit  the Y=1000-2*X

So, mean profit =E(Y)=E(1000-2*X)=1000-2*E(X)=1000-2*50=900

Variance of profit =Var(Y)=Var(1000-2*X)=4*Var(X)=4*90=360

Let X denote the number of units produce then E(X)=500 abd Var(X)=900

Let Y denote the profit  the Y=2000-2*X

So, mean profit =E(Y)=E(2000-2*X)=2000-2*E(X)=2000-2*500=1000

Variance of profit =Var(Y)=Var(2000-2*X)=4*Var(X)=4*900=3600

Profit variance is the distinction between the real income skilled and the budgeted income degree.

A variance is the distinction between real and budgeted income and expenditure.

To calculate gross earnings variance, you'll subtract your projected gross benefit from your actual gross profit, which equals periodic sales minus costs of goods bought. For working variance, subtract projected working profit from actual running profit, which equals revenue minus all COGS and running prices.

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