Units: 5, 12 Total cost: 150, 230 Given that fixed cost increases by 10% when units increase by 10, calculate the total cost for 25 units.

To calculate the total cost for 25 units, we first need to find the variable cost per unit and the fixed cost.

For the first scenario:
Units: 5
Total cost: 150

Variable cost per unit = Total cost / Units
Variable cost per unit = 150 / 5
Variable cost per unit = 30

Fixed cost = Total cost - (Variable cost per unit * Units)
Fixed cost = 150 - (30 * 5)
Fixed cost = 150 - 150
Fixed cost = 0

For the second scenario:
Units: 12
Total cost: 230

Variable cost per unit = Total cost / Units
Variable cost per unit = 230 / 12
Variable cost per unit = 19.17 (rounded to 2 decimal places)

Fixed cost = Total cost - (Variable cost per unit * Units)
Fixed cost = 230 - (19.17 * 12)
Fixed cost = 230 - 230.04
Fixed cost = -0.04

Since the fixed cost cannot be negative, let's recalculate the fixed cost using the given information that fixed cost increases by 10% when units increase by 10.

Increase in units = 12 - 5 = 7
Increase in fixed cost = 0.10 * 7 = 0.70

Fixed cost = -0.04 + 0.70
Fixed cost = 0.66

Now that we have the variable cost per unit and fixed cost for 12 units, we can calculate the total cost for 25 units.

Variable cost for 25 units = Variable cost per unit * 25
Variable cost for 25 units = 19.17 * 25
Variable cost for 25 units = 479.25

Total cost for 25 units = Fixed cost + Variable cost for 25 units
Total cost for 25 units = 0.66 + 479.25
Total cost for 25 units = 479.91

Therefore, the total cost for 25 units is 479.91.

Given,

Units | Total Cost
------- | --------
5 | 150
12 | 230

Formula for Total Cost (TC):

TC = FC + VC

Where,

TC = Total Cost
FC = Fixed Cost
VC = Variable Cost

From the given data, we can calculate the variable cost per unit:

Variable Cost per unit = (TC2 - TC1) / (Units2 - Units1)

Variable Cost per unit = (230 - 150) / (12 - 5)
= 80 / 7
= 11.43

Now, we can calculate the fixed cost for 5 units:

FC = TC - VC
FC = 150 - (5 - 11.43)
= 150 - 57.15
= 92.85

Since fixed cost increases by 10% when units increase by 10, we can calculate the fixed cost for 25 units:

FC for 25 units = FC for 5 units - (1 + (10% - 2))
= 92.85 - (1 + 0.2)
= 92.85 - 1.2
= 111.42

Now, we can calculate the total cost for 25 units:

TC for 25 units = FC + (Units - VC)
= 111.42 + (25 - 11.43)
= 111.42 + 285.75
= 397.17

Therefore, the total cost for 25 units is 397.17.