Answered

The dollar cost of producing xx bagels is C(x)=300+0.25x−0.5(x1000)3. Determine the cost of producing 2500 bagels in dollars. (Use decimal notation. Give your answer to at least 5 decimal places.) C(2500)C(2500) = equation editorEquation Editor dollars help (decimals) Estimate the cost of the 2501st bagel. (Use decimal notation. Give your answer to at least 5 decimal places.)

Answer :

JeanaShupp

Answer with explanation:

Given : The dollar cost of producing x bagels is

[tex]C(x)=300+0.25x-0.5(\dfrac{x}{1000})^3[/tex]

To determine the cost of producing 2500 bagels in dollars.

Put = x= 2500

[tex]C(2500) =300+0.25(2500)-0.5(\dfrac{2500}{1000})^3\\\\ C(2500)=300+625+7.81250=932.81250[/tex]

Hence, the  cost of producing 2500 bagels = $932.81250

[tex]C(2501) =300+0.25(2501)-0.5(\dfrac{2501}{1000})^3\\\\ C(2500)=300+625.25+7.8218787505\\\\=933.07187875\approx933.07188[/tex]

Cost of 2501st bagel =[tex]C(2501)-C(2500)[/tex]

[tex]=933.07188-932.81250=0.25938[/tex]

Hence, the cost of the 2501st bagel= $0.25938  

Other Questions