The cost of fuel to run a locomotive is proportional to the square of the speed and $25 per hour for a speed of 25 miles per hour. Other costs amount to $100 per hour, regardless of the speed. Find the speed that minimizes the cost per mile.

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A: Given y(Branson) = 2x where  y = cost of x cartons of eggs x = number of cartons of eggs. y(Branson)…

Q: 1. Give an example of a variable that can be both quantitative and qualitative.

A: Qualitative variables refers to variables which are categorical in nature and cannot be quantified…

Q: Your friend has two oak trees in his backyard. The shorter one is 33 feet tall, and the taller one…

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Q: In a certain manufacturing process, the cost of producing a single item varies inversely as the…

A: Cost of producing a single varies inversely as the square of the number of items produced. 100 items…

Q: 3. On a recent trip abroad, Sandra learned that 5 dinars was equivalent to 23.25 florins. Describe…

A: We have  5 dinars = 23.25 florins

Q: Suppose proit is given by: profit = 4.55x - 2109.66. If cost per unit of this good is $15.51, what…

A: The relationship between profit, revenue, and cost must be taken into account in order to determine…

Q: 4. David is making his own strawberry vogurt, In David's mixture, the number of strawberries is…

A: Given that  In David's mixture, the number if strawberries is directly proportional to the amount of…

Q: The safe load, L, of a wooden beam of width w, height h, and length 1, supported at both ends,…

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Q: Q: A product costs $11, and $ 25 are sold. The variable costs are $ 1.5 per unit. If the production…

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Q: The power in an electrical system varies jointly with the current in the square of the resistance.…

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Q: Suppose you have a 42-inch TV that is 57 centimeters tall by 96 centimeters wide. You want to…

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Q: 4. Jamie has $1.65 to spend on bubble gum. Each stick of gum costs $0.15. a) Write an equation…

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Q: Find a linear cost function. Thirty units cost $1500; 120 units cost $5640.

A: From the given data:

Q: After eating at a restaurant, it is customary to leave a tip t for the server for at least 15% of…

A: After eating at a restaurant, it is customary to leave a tip t for the server for at least 15% of…