Question

The Double-O Company manufactures bicycles in two factories. The first factory builds the frames, and the second assembles the complete bicycle. The cost of building x frames x frames in one month is 65x + 4000 dollars. The cost of converting x frames x frames into complete bicycles in one month is 93x + 3300 dollars. The company planned to manufacture 500 bicycles in March. What would be the additional cost of adding five more bicycles to the production plan for March?

Answer 1

The additional cost of adding five more bicycles to the production plan for March would be 790 dollars.

Step-by-step explanation:

The student has asked about the additional cost of producing five more bicycles given the costs of production in two different factories, one for building frames and one for assembling complete bicycles. The cost of building x frames is given as 65x + 4000 dollars, and the cost of assembling x frames into complete bicycles as 93x + 3300 dollars. The initial plan was to produce 500 bicycles in March.

To find the additional cost of producing five more bicycles, we'll calculate the difference in total cost between producing 505 bicycles and 500 bicycles.

First, we calculate the cost for 500 bicycles:

For frames: 65(500) + 4000 = 32500 + 4000 = 36500 dollars.

For assembly: 93(500) + 3300 = 46500 + 3300 = 49800 dollars.

Total for 500 bicycles = 36500 + 49800 = 86300 dollars.

Now, for 505 bicycles:

For frames: 65(505) + 4000 = 32825 + 4000 = 36825 dollars.

For assembly: 93(505) + 3300 = 46965 + 3300 = 50265 dollars.

Total for 505 bicycles = 36825 + 50265 = 87090 dollars.

The additional cost for five more bicycles is the difference between total cost for 505 bicycles and total cost for 500 bicycles, which is 87090 dollars - 86300 dollars = 790 dollars.

Answer 2

The additional cost of adding five more bicycles to the production plan for March would be $8090 dollars.

To determine the additional cost of adding five more bicycles to the production plan for March, we need to find the cost of assembling five more frames into complete bicycles.

First, we need to find the cost of building five more frames. The cost of building x frames is given by the equation : 65x + 4000 dollars.

Substituting x with 5, we get : 65(5) + 4000 = 325 + 4000 = 4325 dollars.

Next, we need to find the cost of converting five more frames into complete bicycles.

The cost of converting x frames is given by the equation : 93x + 3300 dollars.

Substituting x with 5, we get : 93(5) + 3300 = 465 + 3300 = 3765 dollars.

Therefore, the additional cost of adding five more bicycles to the production plan for March would be $4325 (cost of building five more frames) + $3765 (cost of converting five more frames into complete bicycles) = $8090 dollars.