Answer :
To determine the value corresponding to letter [tex]$E$[/tex], we need to calculate the marginal cost when increasing production from 5 fhoes per hour to 6 fhoes per hour.
Step 1: Calculate the total cost when 5 fhoes per hour are produced.
The total cost is the sum of fixed costs and variable costs. At 5 fhoes per hour, the fixed cost is \[tex]$40 and the variable cost is \$[/tex]28. Thus,
[tex]$$
\text{Total Cost at 5 fhoes/hour} = 40 + 28 = 68.
$$[/tex]
Step 2: Calculate the total cost when 6 fhoes per hour are produced.
At 6 fhoes per hour, the fixed cost remains \[tex]$40 and the variable cost is \$[/tex]38. Therefore,
[tex]$$
\text{Total Cost at 6 fhoes/hour} = 40 + 38 = 78.
$$[/tex]
Step 3: Find the marginal cost from increasing production from 5 to 6 fhoes per hour.
The marginal cost is the increase in total cost, computed as follows:
[tex]$$
\text{Marginal Cost} = \text{Total Cost at 6 fhoes/hour} - \text{Total Cost at 5 fhoes/hour} = 78 - 68 = 10.
$$[/tex]
Thus, the value of [tex]$E$[/tex] is [tex]$\boxed{10}$[/tex].
Step 1: Calculate the total cost when 5 fhoes per hour are produced.
The total cost is the sum of fixed costs and variable costs. At 5 fhoes per hour, the fixed cost is \[tex]$40 and the variable cost is \$[/tex]28. Thus,
[tex]$$
\text{Total Cost at 5 fhoes/hour} = 40 + 28 = 68.
$$[/tex]
Step 2: Calculate the total cost when 6 fhoes per hour are produced.
At 6 fhoes per hour, the fixed cost remains \[tex]$40 and the variable cost is \$[/tex]38. Therefore,
[tex]$$
\text{Total Cost at 6 fhoes/hour} = 40 + 38 = 78.
$$[/tex]
Step 3: Find the marginal cost from increasing production from 5 to 6 fhoes per hour.
The marginal cost is the increase in total cost, computed as follows:
[tex]$$
\text{Marginal Cost} = \text{Total Cost at 6 fhoes/hour} - \text{Total Cost at 5 fhoes/hour} = 78 - 68 = 10.
$$[/tex]
Thus, the value of [tex]$E$[/tex] is [tex]$\boxed{10}$[/tex].
