Final answer:
Company X produces 3450 computers, Company Y produces 1250, and Company Z produces 3950 computers per day.
Step-by-step explanation:
To solve for how many computers each company (X, Y, Z) produces daily, we can set up a system of equations using the provided information. The total production is 7400 computers a day. We have two sums: X+Y = 4700 and Y+Z = 5200. Adding these two equations, we get 2Y + (X+Z) = 9900. Since X, Y, and Z together make 7400 computers, we can substitute (X+Z) with 7400 to find Y. Thus, 2Y + 7400 = 9900; subtracting 7400 from both sides, we get 2Y = 2500, so Y = 1250.
Now, we can find X by subtracting the production of Y from the combined production of X and Y: X = 4700 - Y. Substituting in the value of Y, we get X = 4700 - 1250, which means X = 3450. Similarly, Z's production is found by subtracting Y's production from the combined production of Y and Z: Z = 5200 - Y = 5200 - 1250, thus Z = 3950.