The marginal cost​ (in dollars per square​ foot) of installing x square feet of kitchen countertop is given by C′(x)=x5/6.   ​a) Find the cost of installing 60 ft2 of countertop. Set up the integral for the cost of installing 60ft2 fo countertop. ​b) Find the cost of installing an extra 16 ft2 of countertop after 60 ft2 have already been installed.

Mathematics For Machine Technology
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Chapter65: Achievement Review—section Six
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The marginal cost​ (in dollars per square​ foot) of installing x square feet of kitchen countertop is given by C′(x)=x5/6.
 
​a) Find the cost of installing 60 ft2 of countertop. Set up the integral for the cost of installing 60ft2 fo countertop.
​b) Find the cost of installing an extra 16 ft2 of countertop after 60 ft2 have already been installed.
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