Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

quick computing company produces calculators. they have found that the …

Question

quick computing company produces calculators. they have found that the cost, c(x), of making x calculators is a quadratic function in terms of x. the company also discovered that it costs $28 to produce 2 calculators, $50 to produce 4 calculators, and $140 to produce 10 calculators. here is the cost function used to represent this situation in terms of the number of calculators produced: c(x) = 0,5x² + 8x + 10 find the total cost of producing 11 calculators. enter the correct answer. done

Explanation:

Step1: Substitute $x=11$ into cost function

$c(11) = 0.5(11)^2 + 8(11) + 10$

Step2: Calculate each term separately

$0.5(11)^2 = 0.5\times121 = 60.5$, $8(11)=88$

Step3: Sum all terms

$c(11) = 60.5 + 88 + 10$

Answer:

158.5