Answer:
Answer
Explanation:
The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the number of available management scientists (40) and the budget available for R&D projects (S300,000). Further, if project 2 is selected, project 5 must also be selected (but not vice versa). Following are the resources requirement and the estimated profit for each project.
Project Expense Management Estimated Profit
($1,000s) Scientists required (1,000,000s)
1 50 6 0.30
2 105 8 0.85
3 56 9 0.20
4 45 3 0.15
5 90 7 0.50
6 80 5 0.45
7 78 8 0.55
8 60 5 0.40
Formulate the integer programming model for this problem and solve it using the computer.
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Answer:
$10,340
Explanation:
The computation of k is shown below;
Rate per quarter = 6% ÷ 4 = 1.5%
In the case when perpetuity paid every year, the effective rate is
= (1 + 1.5%)^4 - 1
= 6.136%
Now Effective rate in the case when perpetuity paid every 5 years
= (1 + 1.5%)^(4 × 5) - 1
= 34.68%
Now
The present value of Both perpetuities = $6,500 ÷ 6.13635506249994% + $8,500 ÷ 34.6855006550052%
= $130,431.99
Now
annuity =k
Number of Periods=25
effective rate = 6.13635506249994%
Annuity k =PV ÷ ((1 - (1 + r)^-n) ÷ r
= $130,431.99 ÷ ((1-(1 + 6.13635506249994%)^-25) ÷ 6.13635506249994%
= $10,335.84
= $10,340
Answer:
be greater than the net operating income under variable costing
Explanation:
Under absorption costing method it includes the total cost of the product that is the fixed cost and variable cost to account for the production.
Whereas in variable costing we only consider the variable cost of production and deduct the fixed costs from the contribution margin.
As George corporation has no beginning inventory and production exceeds sales therefore cost of goods sold reduces( due to closing inventory) resulting in greater net operating income than in variable costing .
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