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An open top rectangular tank with square bases is to have a volume of 10 cu. m. The materials for its bottom are to cost P 15 per square meter and that for the sides, P6 per square meter. Find the most economical dimensions for the tank. A. B. 1.5m x 1.5m x 4.4m 2m x 2m x 2.5m C. 4m x 4m x 0.6m D. 3m x 3m x 1.1m What is the maximum profit when the profit-versus-production function is as given below? P is profit and x is unit of production. P=200,00-x- A. 285,000 B. 200,000 C. 250,000

An open top rectangular tank with square bases is to have a volume of 10 cu. m. The materials for its bottom are to cost P 15 per square meter and that for the sides, P6 per square meter. Find the most economical dimensions for the tank. A. B. 1.5m x 1.5m x 4.4m 2m x 2m x 2.5m C. 4m x 4m x 0.6m D. 3m x 3m x 1.1m What is the maximum profit when the profit-versus-production function is as given below? P is profit and x is unit of production. P=200,00-x- A. 285,000 B. 200,000 C. 250,000

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 2ST
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An open top rectangular tank with square bases is to have a volume of 10 cu. m. The materials for its bottom are to cost P 15 per square meter and that for the sides, P6 per square meter. Find the most economical dimensions for the tank. A. B. C. D. 1.5m x 1.5m x 4.4m 2m x 2m x 2.5m 4m x 4m x 0.6m 3m x 3m x 1.1m What is the maximum profit when the profit-versus-production function is as given below? P is profit and x is unit of production. P=200,00-x- A. 285,000 B. 200,000 C. 250,000 1.1 X+1
Transcribed Image Text:An open top rectangular tank with square bases is to have a volume of 10 cu. m. The materials for its bottom are to cost P 15 per square meter and that for the sides, P6 per square meter. Find the most economical dimensions for the tank. A. B. C. D. 1.5m x 1.5m x 4.4m 2m x 2m x 2.5m 4m x 4m x 0.6m 3m x 3m x 1.1m What is the maximum profit when the profit-versus-production function is as given below? P is profit and x is unit of production. P=200,00-x- A. 285,000 B. 200,000 C. 250,000 1.1 X+1
The cost of fuel in running a locomotive is proportional to the square of the speed and is $ 25 per hour for a speed of 25 miles per hour. Other costs amount to S 100 per hour, regardless of the speed. What is the speed which will make the cost per mile a minimum? A. 40 B. 55 C. 50 D. 45 The cost C of a product is a function of the quantity x of the product: C(x)=x²-4000 x+50. Find the quantity for which the cost is minimum. A. 1000 B. 1500 C. 2000 D. 3000
Transcribed Image Text:The cost of fuel in running a locomotive is proportional to the square of the speed and is $ 25 per hour for a speed of 25 miles per hour. Other costs amount to S 100 per hour, regardless of the speed. What is the speed which will make the cost per mile a minimum? A. 40 B. 55 C. 50 D. 45 The cost C of a product is a function of the quantity x of the product: C(x)=x²-4000 x+50. Find the quantity for which the cost is minimum. A. 1000 B. 1500 C. 2000 D. 3000
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