15 POINTSSSS‼️‼️A company that makes thing-a-ma-bobs has a start up cost of $ 8809. It costs the company $2.05 to make each thing-a-ma-bob. The company charges $ 4.92 for each thing-a-ma-bob. Let xdenote 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 aprofit?
Accepted Solution
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Answer:If the company produce and sell 'x' no. of thing-a-ma-bob , then C(x) = $ (8809 + 2.05x)R(x) = $ 4.92x To make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.Step-by-step explanation:If the company produces and sells "x" no. of thing-a-ma-bob, then,the cost function is given by,C(x) = $ (8809 + 2.05x) ------------------------(1)The revenue function is given by,R(x) = $ 4.92x -------------------------------------(2)If C(x) = R(x), then,4.92x = 8809 + 2.05x⇒ 2.87x = 8809⇒ x = [tex]\frac {8809}{2.87}[/tex]⇒ x [tex]\simeq [/tex] 3069.34 So, to make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.