At a pottery factory, fuel consumption for heating the kilns varies with the siz

Question

At a pottery factory, fuel consumption for heating the kilns varies with the size of the order being fired. In thepast, the company recorded the figures in the table.

y= ax2+bx +c whose graph contains the three points corresponding to the data in the table.

B.How many platters should be fired at one time in order to minimize the fuel cost per platter? What is the minimum fuel cost per platter.

At a pottery factory, fuel consumption for heating the kilns varies with the size of the order being fired. In thepast, the company recorded the figures in the table.

A.Find an equation of the form

y= ax2+bx +c whose graph contains the three points corresponding to the data in the table.

B.How many platters should be fired at one time in order to minimize the fuel cost per platter? What is the minimum fuel cost per platter.

x= number of platters y= Fuel cost per platter. 6 $2.69 8 $2.37 10 $2.13

Explanation / Answer

y = ax^2 +bx+ c

2.69 = a * 6^2 + b*6 + c

2.37 = a*8^2 + 8b+c

2.13 = a*10^2 + 10b+c

hence

y = 4.13 - 0.3 *x +0.01 *x^2

b) minimum when

dy/dx = 0

hence -0.3 + 2 *0.01*x = 0

hence x = 0.3 /(2*0.01)

= 15

x y 6 2.69 8 2.37 10 2.13

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.