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A local beer distributor contracts with a nearby brewery to produce their signature brand of beer. The distributor need an amount of 18000 barrels of beer to meet their annual demand. Since the demand is uniform throughout the year, the distributor can reduce storage costs my dividing that amount into multiple smaller runs. The annual cost of storage can be computed with the function f where a is the number of runs per year. 18000 f(x) = 50 dollars The brewery collects a flat surcharge of $1000 every time the brewery produces a run of the signature brand. The annual cost of running the brewery can be computed using the function g where x is the number of runs per year. g(x) = 1000x dollars Write a function C(x) for the combined cost of storage and running the brewery. C(x) = dollars What is the number of runs x that will minimize the combined cost?

A local beer distributor contracts with a nearby brewery to produce their signature brand of beer. The distributor need an amount of 18000 barrels of beer to meet their annual demand. Since the demand is uniform throughout the year, the distributor can reduce storage costs my dividing that amount into multiple smaller runs. The annual cost of storage can be computed with the function f where a is the number of runs per year. 18000 f(x) = 50 dollars The brewery collects a flat surcharge of $1000 every time the brewery produces a run of the signature brand. The annual cost of running the brewery can be computed using the function g where x is the number of runs per year. g(x) = 1000x dollars Write a function C(x) for the combined cost of storage and running the brewery. C(x) = dollars What is the number of runs x that will minimize the combined cost?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A local beer distributor contracts with a nearby brewery to produce their signature brand of beer. The distributor need an amount of 18000 barrels of beer to meet their annual demand. Since the demand is uniform throughout the year, the distributor can reduce storage costs my dividing that amount into multiple smaller runs. The annual cost of storage can be computed with the function f where a is the number of runs per year. f(x): 18000 50 dollars The brewery collects a flat surcharge of $1000 every time the brewery produces a run of the signature brand. The annual cost of running the brewery can be computed using the function g where x is the number of runs per year. g(x) = 1000x dollars Write a function C(x) for the combined cost of storage and running the brewery. C(x) = dollars What is the number of runs x that will minimize the combined cost? x =
Transcribed Image Text:A local beer distributor contracts with a nearby brewery to produce their signature brand of beer. The distributor need an amount of 18000 barrels of beer to meet their annual demand. Since the demand is uniform throughout the year, the distributor can reduce storage costs my dividing that amount into multiple smaller runs. The annual cost of storage can be computed with the function f where a is the number of runs per year. f(x): 18000 50 dollars The brewery collects a flat surcharge of $1000 every time the brewery produces a run of the signature brand. The annual cost of running the brewery can be computed using the function g where x is the number of runs per year. g(x) = 1000x dollars Write a function C(x) for the combined cost of storage and running the brewery. C(x) = dollars What is the number of runs x that will minimize the combined cost? x =
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