Each question refers to running 6 separate tests. The cost of runnning the test

Question

Each question refers to running 6 separate tests. The cost of runnning the test for the whole population 1 time, the cost of runnning the test for the whole population 2 times, the cost of runnning the test for the whole population 3 times, and so on.

A. What is the total cost for whole population to run 1, 2, 3, 4, 5, and 6 test(s).

B. How many incremental cancers will be detected per running 1, 2, 3, 4, 5, and 6 test(s).

C. What is the total cost per detected cancer for running 1, 2, 3, 4, 5, 6 test(s)?

D. What is the marginal/incremental cost per detected cancer for running 1, 2, 3, 4, 5, 6 test(s)?

Occult Blood Stool Testing .US has 87.2 million people 50-75 years old who should be tested each year American Cancer Society recommends 6 samples Each sample test costs $37 .132,700 new CR cancers occur each year .Each sample tested hasa 0.916666667 probability of detecting cancer if it exists

Explanation / Answer

A.

The cost of runnning the test for the whole population 1 time, the cost of runnning the test for the whole population 2 times, the cost of runnning the test for the whole population 3 times, and so on.

So, the total cost for whole population for test 1 = (1*37) = $37

So, the total cost for whole population for test 2 =(2*37) = $74

So, the total cost for whole population for test 3 =(3*37) = $111

So, the total cost for whole population for test 4 =(4*37) = $148

So, the total cost for whole population for test 5 =(5*37) = $185

So, the total cost for whole population for test 6 =(6*37) = $222

B.

New CR cancer each year = 132,700

incremental cancers detected per running 1 test = 0.916666667 * 132,700 = 121,641.67 = 121,642

incremental cancers detected per running 2 tests = 0.9166666672 * 132,700 = 111,,504.86 = 111,505

incremental cancers detected per running 3 tests = 0.9166666673 * 132,700 = 102212.77 = 102,213

incremental cancers detected per running 4 tests = 0.9166666674 * 132,700 = 93695.06 = 93,695

incremental cancers detected per running 5 tests = 0.9166666675 * 132,700 = 85887.14 = 85,887

incremental cancers detected per running 6 tests.= 0.9166666676 * 132,700 = 78,729.87 = 78,730

C.

total cost per detected cancer for running 1 test = $37/121,642 = $0.0003

total cost per detected cancer for running 2 tests = $74/111,505 = $0.00066

total cost per detected cancer for running 3 tests = $111/102213 = $0.00109

total cost per detected cancer for running 4 tests = $148/93,695 = $0.00158

total cost per detected cancer for running 5 tests = $185/85,887 = $0.00215

total cost per detected cancer for running 6 tests.= $222/78,730 = $0.00282

D.

Marginal/incremental cost per detected cancer for running 1 = NA

Marginal/incremental cost per detected cancer for running 2 = $37/111,505 = $0.00033

Marginal/incremental cost per detected cancer for running 3 = $74/102213 = $0.00072

Marginal/incremental cost per detected cancer for running 4= $111/93,695 = $0.00119

Marginal/incremental cost per detected cancer for running 5 = $148/85,887 = $0.00172

Marginal/incremental cost per detected cancer for running 6 = $185/78,730 = $0.00235

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