For the cost function c equals 0.1 q squared plus 2.1 q plus 8, how fast does c change with respect to q when q equals 11? Determine the percentage rate of change of c with respect to q when q equals 11.

Rate of change of c with respect to q is 4.3

Percentage rate of change c with respect to q is  9.95%

Step-by-step explanation:

Cost function is given as,  

Given that c changes with respect to q that is, . So differentiating given function,  

Applying sum rule of derivative,

Applying power rule and constant rule of derivative,

Substituting the value of ,

Rate of change of c with respect to q is 4.3

Formula for percentage rate of change is given as,  

Rewriting in terms of cost C,

Calculating value of

Substituting the value of ,

Now using the formula for percentage,  

Percentage rate of change of c with respect to q is 9.95%

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step-by-step explanation: