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 $104.75\n(type an integer or decimal rounded to two decimal places as needed.)\nd. find the total cost of producing 1101 cups.\nthe total cost of producing 1101 cups is $104.84\n(type an integer or decimal rounded to two decimal places as needed.)\ne. find the marginal cost of the 1101st cup.\nthe marginal cost of the 1101st cup is \n(type an integer or a decimal.)

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 $104.75\n(type an integer or decimal rounded to two decimal places as needed.)\nd. find the total cost of producing 1101 cups.\nthe total cost of producing 1101 cups is $104.84\n(type an integer or decimal rounded to two decimal places as needed.)\ne. find the marginal cost of the 1101st cup.\nthe marginal cost of the 1101st cup is \n(type an integer or a decimal.)

Answer

Explanation:

Step1: Recall marginal cost formula

Marginal cost of $n$th unit is $C(n)-C(n - 1)$. For a linear cost - function $C(x)=mx + b$, the marginal cost is the slope $m$. We know $C(x)=0.094x + 1.35$, and the slope $m = 0.094$. So the marginal cost of any unit is $0.094$.

Answer:

$0.094$