Question

An artist makes three types of ceramic statues (large, medium, and small) at a monthly cost of $1110 for 200 statues. the manufacturing costs for the three types are $7, $6, and $5. If the statues sell for $22, $14, and $11, respectively, how many of each type should be made to produce $2,680 in monthly revenue?

Answer 1

To determine the number of each type of statue that should be made to produce $2,680 in monthly revenue, we can set up a system of equations and solve them.

Step-by-step explanation:

To determine the number of each type of statue that should be made to produce $2,680 in monthly revenue, we can set up a system of equations.

Let's say the number of large statues is x, the number of medium statues is y, and the number of small statues is z.

From the given information, we have the following equations:

1. x + y + z = 200 (since the total number of statues made is 200)
2. 7x + 6y + 5z = 1110 (since the total cost of production is $1110)
3. 22x + 14y + 11z = 2680 (since the total revenue is $2680)

We can solve this system of equations using substitution or elimination methods. Once we find the values of x, y, and z, we will know how many of each type of statue should be made.