a.
To find: The function
The function that models the cost of producing
Given information:
The cost of making each unstrung racket is $23 and total of $125000 in fixed overhead costs.
Calculation:
Multiply the number of rackets with the price of each unstrung racket and add fixed overhead costs to get the function that models the cost of producing unstrung rackets as follows:
Conclusion:
The function that models the cost of producing
b.
To find: The function
The function that models the cost of producing
Given information:
The cost of making each unstrung racket is $23 and total of $125000 in fixed overhead costs.
Calculation:
Multiply the number of rackets with the price of each strung racket and add fixed overhead costs to get the function that models the cost of producing unstrung rackets as follows:
Conclusion:
The function that models the cost of producing
c.
To find: The function
The function modelling the revenue generated by selling
Given information:
The cost of making each unstrung racket is $23 and total of $125000 in fixed overhead costs.
The price of an unstrung racket is $56 and the price of a strung racket is $79.
Calculation:
The selling price of one unstrung racket is $56. So, the selling price of
Therefore, the function modelling the revenue generated by selling
Conclusion:
The revenue function is
d.
To find: The function
The function modelling the revenue generated by selling
Given information:
The cost of making each unstrung racket is $23 and total of $125000 in fixed overhead costs.
The price of an unstrung racket is $56 and the price of a strung racket is $79.
Calculation:
The selling price of one unstrung racket is $79. So, the selling price of
Therefore, the function modelling the revenue generated by selling
Conclusion:
The revenue function is
e.
To graph: The functions
Given information:
The cost of making each unstrung racket is $23 and total of $125000 in fixed overhead costs.
The price of an unstrung racket is $56 and the price of a strung racket is $79.
Graph:
Use a graphing tool to draw the graph of the functions as shown below.
Interpretation:
Selling strung rackets generates more revenue than selling unstrung rackets.
f.
To write: whether the company should manufacture unstrung or strung rackets.
The company should manufacture strung rackets.
Given information:
The cost of making each unstrung racket is $23 and total of $125000 in fixed overhead costs.
The price of an unstrung racket is $56 and the price of a strung racket is $79.
Calculation:
Consider the graph drawn in part (e).
From the graph it can be observed that the revenue generated by selling strung rackets is more than revenue generated by unstrung rackets. Thus, it is recommended to manufacture strung rackets.
Conclusion:
Selling strung rackets generates more revenue than selling unstrung rackets.
Chapter 1 Solutions
PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
- Question 4 Find an equation of (a) The plane through the point (2, 0, 1) and perpendicular to the line x = y=2t, z=3+4t. 3t, (b) The plane through the point (3, −2, 8) and parallel to the plane z = x+y. (c) The plane that contains the line x = parallel to the plane 5x + 2y + z = 1. 1+t, y2t, z = 43t and is (d) The plane that passes through the point (1,2,3) and contains the line x = 3t, y=1+t, and z = 2 – t. (e) The plane that contains the lines L₁ : x = 1 + t, y = 1 − t, z = = L2 x 2s, y = s, z = 2. 2t andarrow_forwardcan you explain why the correct answer is Aarrow_forwardSee image for questionarrow_forward
- For this question, refer to the a1q4.py Python code that follows the assignment, as well as the dataprovided after the assignment.(a) Modify the code presented to plot the data from the two separate sets of information(from each region).(b) For each population of squirbos, let ` be the length of their front claws and s the mass ofthe skull. Determine for what value of m the s is isometric to `m. Justify it with your log − log plotsfrom (a) and suitable sketched lines.(c) What do you notice about the correlus striatus on your plot?(d) What historically might explain their situation?arrow_forwardPlease see image for question.arrow_forwardQuestion 2 Find the shortest distance between the lines [x, y, z] = [1,0,4] + t[1, 3, −1] and [x, y, z] = [0,2,0] + s[2, 1, 1]. [Do not use derivatives.]arrow_forward
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