You have been asked by management to explain the variances in costs under your inpatient capitated contract. The following data
is provided. Use the following data to calculate the variances.
Budget Actual
Inpatient Costs $12,568,500 $16,618,350
Members 42,000 42,000
Admission Rate 0.070 0.095
Case Mix Index 0.90 0.85
Cost per Case (CMI = 1.0) $4,750 $4,900
Problem 1: What dollar amount of the total variance is attributed to Enrollment Variance?
Problem 2: What dollar effect did the increased admission rate have on cost?
Problem 3: The intensity of care delivered dropped from a budgeted case mix of 0.90 to an actual case mix of 0.85. What dollar effect did this have on actual costs?
Problem 4: Costs per case increased to $4,900 from a budgeted value of $4,750. This increased actual total costs by what amount?
a) $400,000
b) $570,000
c) $970,000
d) $600,000
e) cannot calculate with given information
Budget Actual
Inpatient Costs $12,568,500 $16,618,350
Members 42,000 42,000
Admission Rate 0.070 0.095
Case Mix Index 0.90 0.85
Cost per Case (CMI = 1.0) $4,750 $4,900
Problem 1: What dollar amount of the total variance is attributed to Enrollment Variance?
Problem 2: What dollar effect did the increased admission rate have on cost?
Problem 3: The intensity of care delivered dropped from a budgeted case mix of 0.90 to an actual case mix of 0.85. What dollar effect did this have on actual costs?
Problem 4: Costs per case increased to $4,900 from a budgeted value of $4,750. This increased actual total costs by what amount?
a) $400,000
b) $570,000
c) $970,000
d) $600,000
e) cannot calculate with given information
1 answer:
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Answer:
Since 0.33 + 0.75 = 1.08 is greater than one, this production function therefore exhibits increasing returns to scale.
Explanation:
From the question, we have the following restated equation:
Where q is the output, and L and K are inputs
To determine the types of returns to scale, we increase each of L and K inputs by constant amount c as follows:
We can now solve as follows;
Since 0.33 + 0.75 = 1.08 is greater than one, this production function therefore exhibits increasing returns to scale.