# A company that makes thing-a-ma-bobs has a start up cost of $44055. It costs the company$1.97 to make each thing-a-ma-bob. The company charges $5.31 for each thing-a-ma-bob. Let x denote the number of thing-a-ma-bobs produced. Write the cost function for this company. C(x) = Write the revenue function for this company. R(x) = What is the minumum number of thing-a-ma-bobs that the company must produce and sell to make a profit? # A company that makes thing-a-ma-bobs has a start up cost of$44055. It costs the company $1.97 to make each thing-a-ma-bob. The company charges$5.31 for each thing-a-ma-bob. Let x denote the number of thing-a-ma-bobs produced. Write the cost function for this company. C(x) = Write the revenue function for this company. R(x) = What is the minumum number of thing-a-ma-bobs that the company must produce and sell to make a profit?

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A company that makes thing-a-ma-bobs has a start up cost of $44055. It costs the company$1.97 to make each thing-a-ma-bob. The company charges $5.31 for each thing-a-ma-bob. Let x denote the number of thing-a-ma-bobs produced. Write the cost function for this company. C(x) = Write the revenue function for this company. R(x) = What is the minumum number of thing-a-ma-bobs that the company must produce and sell to make a profit? ## Answers (1) 2021-01-20 The cost would be the start up cost plus the cost to make xx thing-a-ma-bobs. C(x)=44055+1.97xC(x)=44055+1.97x The revenue is how much the company makes per x thing-a-ma-bobs sold. R(x)=5.31xR(x)=5.31x In order to make a profit, total revenue has to exceed total cost. R(x)>C(x)R(x)>C(x) 5.31x>44055+1.97x5.31x>44055+1.97x 3.34x>440553.34x>44055 x>13190.1x>13190.1 Because you can only sell an integer number of thing-a-ma-bobs, the company must sell at least 1319113191 thing-a-ma-bobs. ### Relevant Questions asked 2021-04-20 (1 pt) A new software company wants to start selling DVDs withtheir product. The manager notices that when the price for a DVD is19 dollars, the company sells 140 units per week. When the price is28 dollars, the number of DVDs sold decreases to 90 units per week.Answer the following questions: A. Assume that the demand curve is linear. Find the demand, q, as afunction of price, p. Answer: q= B. Write the revenue function, as a function of price. Answer:R(p)= C. Find the price that maximizes revenue. Hint: you may sketch thegraph of the revenue function. Round your answer to the closestdollar. Answer: D. Find the maximum revenue. 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The cost in dollars to produce x youth baseball caps is C(x) = 4.3x + 75. The revenue in dollars from sales of x caps is $$\displaystyle{R}{\left({x}\right)}={25}{x}$$.
(a) Write and simplify a function P that gives profit in terms of x.
(b) Find the profit if 50 caps are produced and sold.
$$\begin{array}{|c|c|} \hline Number\ N & Price\ p\\ \hline 200 & 53.00\\ \hline 250 & 52.50\\\hline 300 & 52.00\\ \hline 350 & 51.50\\ \hline \end{array}$$
$$\displaystyle{p}=$$
$$\displaystyle{R}=$$
(c) On the basis of the tables in this exercise and using cost, $$\displaystyle{C}={35}{N}+{900}$$, use a formula to express the monthly profit P, in dollars, of this manufacturer as a function of the number of widgets produced in a month.
$$\displaystyle{P}=$$