Question

A local sandwich store has a fixed weekly cost of $510.00, and variable costs for making a roast beef sandwich are $0.45. Let x represent the number of roast beef sandwiches made and sold each week. Write the weekly cost function, C, for the local sandwich store.

A) C(x) = 0.45x + 510.00
B) C(x) = 510.00 - 0.45x
C) C(x) = 510.45x
D) C(x) = x/510.45

Answer 1

The weekly cost function for the local sandwich store, considering a fixed cost of $510.00 and a variable cost of $0.45 per roast beef sandwich, is C(x) = 0.45x + 510.00.

Step-by-step explanation:

The question involves writing the weekly cost function, C, for a local sandwich store with specific fixed and variable costs. The store has a fixed weekly cost of $510.00 and a variable cost of $0.45 per roast beef sandwich. The cost function should incorporate both the fixed cost and the variable cost multiplied by the number of sandwiches, x. Therefore, the correct cost function is C(x) = 0.45x + 510.00. This equation adds the fixed cost to the product of the variable cost per sandwich and the number of sandwiches made and sold each week.