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: Graphical, Numerical, Algebraic Common Core 10th Edition
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- K Find all values x = a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist. x-7 p(x) = X-7 Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. (Use a comma to separate answers as needed.) OA. f is discontinuous at the single value x = OB. f is discontinuous at the single value x= OC. f is discontinuous at the two values x = OD. f is discontinuous at the two values x = The limit is The limit does not exist and is not co or - ∞. The limit for the smaller value is The limit for the larger value is The limit for the smaller value is The limit for the larger value does not exist and is not c∞ or -arrow_forwardK x3 +216 complete the table and use the results to find lim k(x). If k(x) = X+6 X-6 X -6.1 -6.01 - 6.001 - 5.999 - 5.99 -5.9 k(x) Complete the table. X -6.1 -6.01 - 6.001 - 5.999 - 5.99 - 5.9 k(x) (Round to three decimal places as needed.) Find the limit. Select the correct choice below and, if necessary, fill in the answer box within your choice.arrow_forwardSketch the slope field that represents the differential equation. × Clear Undo Redo y ४|० || 33 dy dxarrow_forward
- Sketch the slope field that represents the differential equation. × Clear Undo Redo dy 33 dx = -y "arrow_forwardMath Test 3 3 x³+y³ = Ꭹ = 9 2 2 x²+y² = 5 x+y=?arrow_forwardFor each of the following series, determine whether the absolute convergence series test determines absolute convergence or fails. For the ¿th series, if the test is inconclusive then let Mi = 4, while if the test determines absolute convergence let Mi 1 : 2: ∞ Σ(−1)"+¹ sin(2n); n=1 Σ n=1 Σ ((−1)”. COS n² 3+2n4 3: (+ 4: 5 : n=1 ∞ n 2+5n3 ПП n² 2 5+2n3 пп n² Σ(+)+ n=1 ∞ n=1 COS 4 2 3+8n3 П ηπ n- (−1)+1 sin (+727) 5 + 2m³ 4 = 8. Then the value of cos(M₁) + cos(2M2) + cos(3M3) + sin(2M) + sin(M5) is -0.027 -0.621 -1.794 -1.132 -1.498 -4.355 -2.000 2.716arrow_forward
- i need help with this question i tried by myself and so i am uploadding the question to be quided with step by step solution and please do not use chat gpt i am trying to learn thank you.arrow_forwardi need help with this question i tried by myself and so i am uploadding the question to be quided with step by step solution and please do not use chat gpt i am trying to learn thank you.arrow_forward1. 3 2 fx=14x²-15x²-9x- 2arrow_forward
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