The daily cost of producing q units (hundreds of pounds) of Select Sausage is known to be C = 200 + 80q - 0.1q2, for 0 ≤ q ≤ 50. When a wholesaler buys q units (hundreds of pounds) of Select Sausage, the selling price per unit is P = 110 - 0.2q, 0 ≤ q ≤ 50. Currently, two tons (q = 40) of sausage are produced each day. Find the total cost of producing two two tons of sausage

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
icon
Related questions
icon
Concept explainers
Topic Video
Question

The daily cost of producing q units (hundreds of pounds) of Select Sausage is known to be C = 200 + 80q - 0.1q2, for 0 ≤ q ≤ 50. When a wholesaler buys q units (hundreds of pounds) of Select Sausage, the selling price per unit is P = 110 - 0.2q, 0 ≤ q ≤ 50. Currently, two tons (q = 40) of sausage are produced each day. Find the total cost of producing two two tons of sausage.

a.

$81

  b.

$3,240

  c.

$102

  d.

$72

Expert Solution
Step 1

Given,

Cost of producing the q  units

C = 200 + 80q - 0.1q2,                for 0 ≤ q ≤ 50

selling price per unit is P = 110 - 0.2q,                   0 ≤ q ≤ 50

We want to find the total cost of producing q = 40 sausage

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax