MATH 133 Unit 2 - Individual Project Assignment - Quadratic Equations

Mar 29th, 2015
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MATH 133 Unit 2 - Individual Project Assignment - Quadratic Equations

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Remember that the standard form for the quadratic function equation isy=f(x) =ax2+bx+cand the vertex form isy=f(x) =a(xh)2+k, where (h,k) are the coordinates of the vertex of this quadratic functions graph.You will useP(x) = 0.2x2+bxcwhere (0.2x2+bx) represents the business variable profit andcis the businesss fixed costs.So,P(x) is the stores total annual profit (in $1,000) based on the number of items sold,x.1. Choose a value between 100 and 200 forb. That value does not have to be a whole number.I will set B = 120. 2. Think about and list what the fixed costs might represent for your fictitious business (be creative). Start by choosing a fixed cost,c, between $5,000 and $10,000, according to the first letter of your last name from the values listed in the following chart:If your last name begins with the letterChoose a fixed cost betweenAE$5,000$5,700FI$5,800$6,400JL$6,500$7,100MO$7,200$7,800PR$7,800$8,500ST$8,600$9,200UZ$9,300$10,000Selecting $5,000 to $5,700 range. Selecting C = $5,300.3. Replacebandcwith your chosen values in Parts 1 and 2 inP(x) = 0.2x2+bxc. This is your quadratic profit model function. State that quadratic profit model functions equation.4. Next, choose 5 values ofx(number of items sold) between 500 and 1,000. Think about the general characteristics of quadrati

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