Friday

August 22, 2014

August 22, 2014

Posted by **Mary** on Sunday, November 30, 2008 at 12:09pm.

- calculus -
**Reiny**, Sunday, November 30, 2008 at 12:37pmlet the radius of the can be r mm

and its height be h mm

area = 1 rectangle + 2 circles

= 2pi(r)(h) + 2pi(r^2)

seems length = 2 circuferences + height of can

= 2(2pi(r)) + h

= 4pi(r) + h

so Cost = 2[2pi(r)(h) + 2pi(r^2)] + 1[4pi(r) + h]

but pi(r^2)h = 1000

so h = 1000/(pi(r^2))

this should give you a good start, sub h back into the Cost equation,

find the derivative of Cost,

then solve for r

sub back into Cost equation to find minimum cost

**Related Questions**

advanced math - The marginal cost of a product can be thought of as the cost of ...

Math - A manufacturer produces certain devices. The fixed cost of production is...

math - The daily cost C, in RM, of producing a product is C(x)=1000+72x-0.06x^2...

business and finance - The cost of producing a number of items x is given by C=...

Math- Linear Programming - A dog food is to be mixed from three kinds of ...

math,algebra,help - Problem states: Business and finance. The cost of producing ...

Business Calculus - A manufacturer has found that marginal cost is dc/dx=3x^2-...

calculus - The cost of running a ship at a constant speed of v km/h is 160 + 1/...

Algebra - 83. Minimizing Marginal Cost The marginal cost of a product can be ...

calculus - A cylindrical can is to be made to hold 100cm cubic.The material for...