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MarginalCost/Revenue/Profit “mC”/“mR”/“mP” values represent the changes in total Cost/Revenue/Profit “C”/”R”/”P” anticipated if the present sales volume...

MarginalCost/Revenue/Profit “mC”/“mR”/“mP” values represent the changes in total Cost/Revenue/Profit “C”/”R”/”P” anticipated if the present sales volume “x” changed by 1-unit from its current level.  

The differential calculus approach to estimating a product line’s mC/mR/mP involves taking the 1stderivativeof the total C/R/Pequations, and then using these 1stderivativesin the process of solving for the appropriate “x” values.  

C = -0.1733(x)2+ 424.81(x)+ 119,384

R= 937.5(x) – 0.4375(x)2

P= –0.2642(x)2+ 512.69(x) – 119,384.

Make your estimates assuming each of the following two initial sales levels:

a. 150.             b.  1080.

Math   Calculus   
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