The marginal cost of a bicycle and a tricycle, if the weekly cost to manufacture x bicycle and y tricycle is provided by C ( x , y ) = 24000 + 60 x + 20 y .
The marginal cost of a bicycle and a tricycle, if the weekly cost to manufacture x bicycle and y tricycle is provided by C ( x , y ) = 24000 + 60 x + 20 y .
Solution Summary: The author calculates the marginal cost of bicycles and tricycles if the weekly cost is provided by C(x,y)=24000+60x+20y.
To calculate: The marginal cost of a bicycle and a tricycle, if the weekly cost to manufacture x bicycle and y tricycle is provided by C(x,y)=24000+60x+20y.
(b)
To determine
The meaning of the graph of the cost function C, if weekly cost to manufacture x bicycle and y tricycle is provided by C(x,y)=24000+60x+20y.
(c)
To determine
The cost function of the slice at y=100, if weekly cost to manufacture x bicycle and y tricycle is provided by C(x,y)=24000+60x+20y.
(d)
To determine
The meaning of the curve at z=72000 that tell you about costs at level curve weekly cost to manufacture x bicycle and y tricycle is provided by C(x,y)=24000+60x+20y
1. Racetracks often charge an annual membership fee and an entry fee per race. One racer paid a total of $76 after 3 races. Another racer paid a total of $124 after 7 races.
A. Sketch a graph that models the situation. Explain why it is okay to draw a line
and what it represents even though this is a discrete function. B. What are the domain and the range of the function? Explain your reasoning.
C. Determine the slope of the function. What does this represent in the situation?
D. Determine the initial value. What does this represent in this situation?
E. Write a linear function that models the situation.
Subject-advance maths
Refine your table by calculating values of x that go up in increments of 100 between these two
numbers. You can refine even further if you wish.
x, number of books sold
Income with publisher A, ($)
A =
Income with publisher B, ($)
B =
What is your best estimate for the number of books sold that make the plans equal?
Use the numerical data above to graphically compare the incomes. Construct a graph to model
both publishing plans on the same Cartesian Plane and attach it to this tutorial (you may use Excel
or DESMOS if you wish). Which quantity is to plotted on which axis?
Properly label and title your graph. What is your best estimate from your graph?
Now solve the problem algebraically. You are solving a system of equations by substitution.
Part C. Comment on the Process and Interpret the Results
Are the solutions you obtained numerically, graphically and algebraically consistent?
What factors must the students consider when deciding between these two offers?
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