A company manufactures two types of electronic components, Component A and Component B. The cost to produce Component A is $12.75 per unit, and the cost to produce Component B is $18.20 per unit. The total production cost for a recent batch of these components was $3,542.50. If $a$ represents the number of Component A units produced and $b$ represents the number of Component B units produced, which of the following expressions represents the total cost, in dollars, of producing all Component A units in the batch?