Exercise 1.8 Your long distance phone service has a base monthly charge and a per-minute charge....

Exercise 1.8

Your long distance phone service has a base monthly charge and a per-minute charge. When you used 350 minutes in a month the total cost was $32.50. When you used 400 minutes in a month the total cost was $36.50. You want an equation that will allow you to calculate your phone bill.

Please provide:

a. the definition of x, including the units

b. the definition of y, including the units

c. the equation in the form y = mx + b

d. the units of the slope

e. the units of b and an interpretation of b.

f. How much will your phone bill be if you talked for 711 minutes?

2. The dosage for a medicine is linear with the weight of the patient. There is a minimum dosage onto which is added a per pound dosage. You find that your dosage, at 110 pounds is 48 milliliters (ml). Your brother’s dosage, at 170 pounds, is 66 ml. You would like an equation that will relate the dosage to the weight of the patient. Please provide:

a. the definition of x, including the units

b. the definition of y, including the units

c. the equation in the form y = mx + b

d. the units of the slope

e. the units of b and an interpretation of b.

f. what is the dosage for a 165 lb patient?

For each of the problems,6 –10, cost information at a certain level of production for a manufacturing process is given. The revenue per unit is also given. Assume a linear relationship between the number of units produced and cost. For each problem please find:a. The cost,revenue and profit functions and the units of the slope and of b.b. The variable cost per unit, also known as the marginal cost, and the fixed cost. c. The cost, revenue and profit when z units are produced. (z will be specified in each problem)d. The break-even point.e. The average cost per unit of producing w units and the equation of the average cost per unit function. (w will be specified in each problem)

The cost of producing 1,250 units is $45,000. The cost of producing 1,500 units is $50,000. Each unit produced can be sold for $30. z = 3,000; w = 2,500.
The cost of producing 23,000 units is $225,000. The cost of producing 30,000 units is $260,000. Each unit produced can be sold for $12. z = 45,000; w = 68,000.

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Expert Solution

Colby Messinger answered 1 year ago

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