more than 4 weeks ago

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ChatGPT

more than 4 weeks ago

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.

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.

Google Gemini AI

more than 4 weeks ago

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.**

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