Final answer:
The correct expression representing the cost of manufacturing x crazyons is 570 + 0.5x, which is option c). To calculate the cost for an increased number of crazyons, substitute the increased quantity for x and add this to the fixed cost. The correct option is c) 570 + 0.5x.
Step-by-step explanation:
The cost in cents of manufacturing x crazyons is 570 + 0.5x. The correct expression that represents this cost is option c) 570 + 0.5x.
Considering this formula, if you want to calculate the new cost for a different number of crazyons produced, simply substitute the new quantity for x and calculate the total cost.
For example, if the company wants to raise the output by 546 crazyons, the additional cost incurred would be 0.5 multiplied by 546, which is equal to 273. Adding this to the fixed cost of 570 cents gives us a new total cost of 843 cents.
Moreover, if a comparison to the effect of government spending is drawn, as stated in the given information, to raise output by 546 would require an increase in government spending of 546/2.27=240, aligning with the outcome derived from algebraic calculations in economics.
The cost in cents of manufacturing x crazyons is given by the expression 570 + 0.5x.
To answer the question, we need to select the option that represents this expression.
The correct option is c) 570 + 0.5x.