Question

S u p p o s e a c o m p a n y h a s f i x e d c o s t s o f $3 6,0 0 0 a n d v a r i a b l e c o s t p e r u n i t o f 2 / 5 x + 2 2 2 x w h e r e x i s t h e t o t a l n u m b e r o f u n i t s p r o d u c e d. S u p p o s e f u r t h e r t h a t t h e s e l l i n g p r i c e o f i t s p r o d u c t i s 1,4 5 2 - 3 / 5 x d o l l a r s p e r u n i t. A. F o r m t h e c o s t f u n c t i o n a n d r e v e n u e f u n c t i o n (i n d o l l a r s). C (x) = R (x) =

          S u p p o s e a c o m p a n y h a s f i x e d c o s t s o f $3 6,0 0 0 a n d v a r i a b l e c o s t p e r u n i t o f 2 / 5 x + 2 2 2 x w h e r e x i s t h e t o t a l n u m b e r o f u n i t s p r o d u c e d. S u p p o s e f u r t h e r t h a t t h e s e l l i n g p r i c e o f i t s p r o d u c t i s 1,4 5 2 - 3 / 5 x d o l l a r s p e r u n i t.

A. F o r m t h e c o s t f u n c t i o n a n d r e v e n u e f u n c t i o n (i n d o l l a r s).

C (x)
=

R (x)
=

S u p p o s e a c o m p a n y h a s f i x e d c o s t s o f 3 6,0 0 0 a n d v a r i a b l e c o s t p e r u n i t o f 2 / 5 x + 2 2 2 x w h e r e x i s t h e t o t a l n u m b e r o f u n i t s p r o d u c e d. S u p p o s e f u r t h e r t h a t t h e s e l l i n g p r i c e o f i t s p r o d u c t i s 1,4 5 2 - 3 / 5 x d o l l a r s p e r u n i t.

A. F o r m t h e c o s t f u n c t i o n a n d r e v e n u e f u n c t i o n (i n d o l l a r s).

C (x)
=

R (x)
=

Added by Michael N.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Drew Scalzo

06/06/2022

Step 1

The fixed costs are $36,000 and the variable cost per unit is 2/5x + 222x. Therefore, the cost function C(x) is: \[ C(x) = 36,000 + \left(\frac{2}{5}x + 222x\right) \] ** Show more…

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Sup p o s e a c o m p a n y h a s f i x e d c o s t s o f $3 6,0 0 0 a n d v a r i a b l e c o s t p e r u n i t o f 2 / 5 x + 2 2 2 x w h e r e x i s t h e t o t a l n u m b e r o f u n i t s p r o d u c e d. S u p p o s e f u r t h e r t h a t t h e s e l l i n g p r i c e o f i t s p r o d u c t i s 1,4 5 2 - 3 / 5 x d o l l a r s p e r u n i t. F o r m t h e c o s t f u n c t i o n a n d r e v e n u e f u n c t i o n (i n d o l l a r s). C (x) R (x)