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Can you please show me step-by-step for this? Assume that managers of QVC Hospit

ID: 2777672 • Letter: C

Question

Can you please show me step-by-step for this?

Assume that managers of QVC Hospital are setting the price on a new outpatient service. Here are relevant data estimates:

Variable cost per visit $25.00

Annual Direct Fixed Costs $750,000

Annual Overhead Allocation $275,000

Expected Annual Utilization 20,000 visits

What per visit price must be set for the service to breakeven? To earn an annual profit of $100,000?

Repeat Part a, but assume that the variable cost per visit is $27.

Return to the original data given in the problem. Again repeat Part a, but assume that direct fixed costs are $800,000.

Repeat Part a assuming both a $27 variable cost and $800,000 in direct fixed costs.

Explanation / Answer

Break Even Point is the point at which there is no profit no loss

Break Even Point = Total Fixed Cost/(Sale Price - variable cost)

(Sale Price - variable cost)*Break Even Point =  Total Fixed Cost

(Sale Price - variable cost) =   Total Fixed Cost/Break Even Point

Sale Price = Total Fixed Cost/Break Even Point + variable cost

What per visit price must be set for the service to breakeven?

Sale Price = Total Fixed Cost/Break Even Point + variable cost

Total Fixed Cost = Annual Direct Fixed Costs + Annual Overhead Allocation

Total Fixed Cost = 750000+275000

Total Fixed Cost = 1025000

Break Even Point = Expected Annual Utilization

Break Even Point = 20000

Variable cost per visit = 25

Sale Price = 1025000/20000+ 25

Sale Price = $ 76.25

To earn an annual profit of $100,000?

Sale Price = (Total Fixed Cost+annual profit)/Break Even Point + variable cost

Total Fixed Cost = Annual Direct Fixed Costs + Annual Overhead Allocation

Total Fixed Cost = 750000+275000

Total Fixed Cost = 1025000

Annual profit required = 100000

Break Even Point = Expected Annual Utilization

Break Even Point = 20000

Variable cost per visit = 25

Sale Price = (1025000+100000)/20000+ 25

Sale Price = $ 81.25

Repeat Part a, but assume that the variable cost per visit is $27.

What per visit price must be set for the service to breakeven?

Sale Price = Total Fixed Cost/Break Even Point + variable cost

Total Fixed Cost = Annual Direct Fixed Costs + Annual Overhead Allocation

Total Fixed Cost = 750000+275000

Total Fixed Cost = 1025000

Break Even Point = Expected Annual Utilization

Break Even Point = 20000

Variable cost per visit = 27

Sale Price = 1025000/20000+ 27

Sale Price = $ 78.25

To earn an annual profit of $100,000?

Sale Price = (Total Fixed Cost+annual profit)/Break Even Point + variable cost

Total Fixed Cost = Annual Direct Fixed Costs + Annual Overhead Allocation

Total Fixed Cost = 750000+275000

Total Fixed Cost = 1025000

Annual profit required = 100000

Break Even Point = Expected Annual Utilization

Break Even Point = 20000

Variable cost per visit = 27

Sale Price = (1025000+100000)/20000+ 27

Sale Price = $ 83.25

Return to the original data given in the problem. Again repeat Part a, but assume that direct fixed costs are $800,000.

What per visit price must be set for the service to breakeven?

Sale Price = Total Fixed Cost/Break Even Point + variable cost

Total Fixed Cost = Annual Direct Fixed Costs + Annual Overhead Allocation

Total Fixed Cost = 800000+275000

Total Fixed Cost = 1075000

Break Even Point = Expected Annual Utilization

Break Even Point = 20000

Variable cost per visit = 25

Sale Price = 1075000/20000+ 25

Sale Price = $ 78.75

To earn an annual profit of $100,000?

Sale Price = (Total Fixed Cost+annual profit)/Break Even Point + variable cost

Total Fixed Cost = Annual Direct Fixed Costs + Annual Overhead Allocation

Total Fixed Cost = 800000+275000

Total Fixed Cost = 1075000

Annual profit required = 100000

Break Even Point = Expected Annual Utilization

Break Even Point = 20000

Variable cost per visit = 25

Sale Price = (1075000+100000)/20000+ 25

Sale Price = $ 83.75

Repeat Part a assuming both a $27 variable cost and $800,000 in direct fixed costs.

What per visit price must be set for the service to breakeven?

Sale Price = Total Fixed Cost/Break Even Point + variable cost

Total Fixed Cost = Annual Direct Fixed Costs + Annual Overhead Allocation

Total Fixed Cost = 800000+275000

Total Fixed Cost = 1075000

Break Even Point = Expected Annual Utilization

Break Even Point = 20000

Variable cost per visit = 27

Sale Price = 1075000/20000+ 27

Sale Price = $ 80.75

To earn an annual profit of $100,000?

Sale Price = (Total Fixed Cost+annual profit)/Break Even Point + variable cost

Total Fixed Cost = Annual Direct Fixed Costs + Annual Overhead Allocation

Total Fixed Cost = 800000+275000

Total Fixed Cost = 1075000

Annual profit required = 100000

Break Even Point = Expected Annual Utilization

Break Even Point = 20000

Variable cost per visit = 27

Sale Price = (1075000+100000)/20000+ 27

Sale Price = $ 85.75