Final answer:
The expense function for the Fidget Widget Corporation, with workers earning $10 per hour and producing two widgets per hour, is C(Q) = $8.90 × Q, where Q is the quantity of widgets produced.
Step-by-step explanation:
The Fidget Widget Corporation's expense function can be algebraically expressed by considering the cost to produce each widget based on worker wages. Workers earn $10 per hour and produce two widgets per hour. Hence, the cost of labor per widget is $5 (since $10 divided by 2 widgets equals $5 per widget). However, if the variable expenses mentioned are $3.90 per widget, we add this to the labor cost per widget to get the total variable cost per widget.
An algebraic expression for the expense function, assuming Q represents the quantity of widgets produced, would be:
C(Q) = ($5 + $3.90) × Q
Which simplifies to:
C(Q) = $8.90 × Q
This function can be used to calculate the total expenses of producing any quantity of widgets.