the manager of a restaurant found that the cost to produce 300 cups of coffee is $29.55, while the cost to…

the manager of a restaurant found that the cost to produce 300 cups of coffee is $29.55, while the cost to produce 500 cups is $48.35. assume the cost c(x) is a linear function of x, the number of cups produced. answer parts a through f.\na. find a formula for c(x). choose the correct answer below.\nc(x)=0.094x + 1.35 (use integers or decimals for any numbers in the expression.)\nb. what is the fixed cost?\nthe fixed cost is $1.35.\n(type an integer or decimal rounded to two decimal places as needed.)\nc. find the total cost of producing 1100 cups.\nthe total cost of producing 1100 cups is $ \n(type an integer or decimal rounded to two decimal places as needed.)

the manager of a restaurant found that the cost to produce 300 cups of coffee is $29.55, while the cost to produce 500 cups is $48.35. assume the cost c(x) is a linear function of x, the number of cups produced. answer parts a through f.\na. find a formula for c(x). choose the correct answer below.\nc(x)=0.094x + 1.35 (use integers or decimals for any numbers in the expression.)\nb. what is the fixed cost?\nthe fixed cost is $1.35.\n(type an integer or decimal rounded to two decimal places as needed.)\nc. find the total cost of producing 1100 cups.\nthe total cost of producing 1100 cups is $ \n(type an integer or decimal rounded to two decimal places as needed.)

Answer

Explanation:

Step1: Identify the cost - function formula

We are given the cost - function $C(x)=0.094x + 1.35$, where $x$ is the number of cups produced.

Step2: Substitute $x = 1100$ into the formula

$C(1100)=0.094\times1100+1.35$. First, calculate $0.094\times1100 = 103.4$. Then, $C(1100)=103.4 + 1.35$. $C(1100)=104.75$.

Answer:

$104.75$