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OC user
OC user
in Economics·
3 Feb 2019

Need assistance with these problems!


1. The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X1 - X4 represent the number of employees starting work on each shift (shift 1 through shift 4).
Minimize X1 + X2 + X3 + X4
Subject to: X1 + X4%u2265 12 (shift 1)
X1 + X2%u2265 15 (shift 2)
X2 + X3%u2265 16 (shift 3)
X3 + X4%u2265 14 (shift 4)
all variables %u2265 0

Find the optimal solution using QM.
How many workers would be assigned to shift 1? (Points : 3) 12
13
0
none of the above

2. When appropriate, the optimal solution to a maximization linear programming problem can be found by graphing the feasible region and: (Points : 3)
finding the profit at every corner point of the feasible region to see which one gives the highest value.
moving the isoprofit lines towards the origin in a parallel fashion until the last point in the feasible region is encountered.
locating the point that is highest on the graph.
none of the above.
all of the above.


3. Multiple optimal solutions can occur when the objective function is __________ a constraint line. (Points : 3)
unequal to
equal to
linear to
parallel to


4. When applying linear programming to diet problems, the objective function is usually designed to: (Points : 3)
maximize profits from blends of nutrients.
maximize ingredient blends.
minimize production losses.
maximize the number of products to be produced.
minimize the costs of nutrient blends.


5. For a maximization problem, assume that a constraint is binding. If the original amount of a resource is 4 lbs., and the range of feasibility (sensitivity range) for this constraint is from 3 lbs. to 6 lbs., increasing the amount of this resource by 1 lb. will result in the: (Points : 3)
same product mix, different total profit.
different product mix, same total profit as before.
same product mix, same total profit.
different product mix, different total profit.


6. The corner point solution method: (Points : 3)
will yield different results from the isoprofit line solution method.
requires that the profit from all corners of the feasible region be compared.
will provide one, and only one, optimum.
requires that all corners created by all constraints be compared.
will not provide a solution at an intersection or corner where a non-negativity constraint is involved.


7. Consider the following linear programming problem.
Maximize 4X + 10Y
Subject to: 3X + 4Y %u2264 480 and 4X + 2Y %u2264 3 360
all variables %u2265 0
The feasible corner points are (48,84), (0,120), (0,0), (90,0).

What is the maximum possible value for the objective function? (Points : 3)
1032
1200
360
none of the above


8. When using Excel's Solver to input and solve a linear programming problem, it is essential that one perform an additional task before submitting the formulation. That important additional function is: (Points : 3)
guessing the values of the variables.
putting in a value for the objective function.
choosing the options for assuming both a linear model and non-negative variables.
resetting the parameters.
none of the above.


9. Consider the following linear programming problem.
Maximize 5X + 6Y
Subject to: 4X + 2Y %u2264 420 and 1X + 2Y %u2264 120
all variables %u2265 0

Which of the following points (X,Y) is not feasible? (Points : 3)
(50,40)
(20,50)
(60,30)
none of the above


10. ____________ is used to analyze changes in model parameters. (Points : 3)
Optimal solution
Feasible solution
Sensitivity analysis
None of the above

OC user
OC user
in Finance·
3 Feb 2019

(If possible can you please complete in an excel document)

Excel Project Instructions

Assume ABC Company has asked you to not only prepare their 2015 year-end Balance Sheet but to also provide pro-forma financial statements for 2016. In addition, they have asked you to evaluate their company based on the pro-forma statements with regard to ratios. They also want you to evaluate 3 projects they are considering. Their information is as follows:

End of the year information:

Account

12/31/15

Ending Balance

Cash

50,000

Accounts Receivable

175,000

Inventory

126,00

Equipment

480,000

Accumulated Depreciation

90,000

Accounts Payable

156,000

Short-term Notes Payable

12,000

Long-term Notes Payable

200,000

Common Stock

235,000

Retained Earnings

solve

Additional Information:

Sales for December total 10,000 units. Each month’s sales are expected to exceed the prior month’s results by 5%. The product’s selling price is $25 per unit.

Company policy calls for a given month’s ending inventory to equal 80% of the next month’s expected unit sales. The December 31 2015 inventory is 8,400 units, which complies with the policy. The purchase price is $15 per unit.

Sales representatives’ commissions are 12.5% of sales and are paid in the month of the sales. The sales manager’s monthly salary will be $3,500 in January and $4,000 per month thereafter.

Monthly general and administrative expenses include $8,000 administrative salaries, $5,000 depreciation, and 0.9% monthly interest on the long-term note payable.

The company expects 30% of sales to be for cash and the remaining 70% on credit. Receivables are collected in full in the month following the sale (none is collected in the month of sale).

All merchandise purchases are on credit, and no payables arise from any other transactions. One month’s purchases are fully paid in the next month.

The minimum ending cash balance for all months is $50,000. If necessary, the company borrows enough cash using a short-term note to reach the minimum. Short-term notes require an interest payment of 1% at each month-end (before any repayment). If the ending cash balance exceeds the minimum, the excess will be applied to repaying the short-term notes payable balance.

Dividends of $100,000 are to be declared and paid in February.

No cash payments for income taxes are to be made during the first calendar quarter. Income taxes will be assessed at 35% in the quarter.

Equipment purchases of $55,000 are scheduled for March.

ABC Company’s management is also considering 3 new projects consisting of the purchase of new equipment. The company has limited resources, and may not be able to complete make all 3 purchases. The information is as follows for the purchases below.

Project 1

Project 2

Project 3

Purchase Price

$80,000

$175,000

$22,700

Required Rate of Return

6%

8%

12%

Time Period

3 years

5 years

2 years

Cash Flows – Year 1

$48,000

$85,000

$15,000

Cash Flows – Year 2

$36,000

$74,000

$12,000

Cash Flows – Year 3

$22,000

$38,000

N/A

Cash Flows – Year 4

N/A

$26,800

N/A

Cash Flows – Year 5

N/A

$19,000

N/A

Required Action:

Part A:

Prepare the year-end balance sheet for 2015. Be sure to use proper headings.

Prepare budgets such that the pro-forma financial statements for the first quarter of 2016 may be prepared.

Sales budget, including budgeted sales for April.

Purchases budget, the budgeted cost of goods sold for each month and quarter, and the cost of the March 31 budgeted inventory.

Selling expense budget.

General and administrative expense budget.

Expected cash receipts from customers and the expected March 31 balance of accounts receivable.

Expected cash payments for purchases and the expected March 31 balance of accounts payable.

Cash budget.

Budgeted income statement.

Budgeted statement of retained earnings.

Budgeted balance sheet.

Part B:

Calculate using Excel formulas, the NPV of each of the 3 projects.

It is possible that ABC Company may not be able to complete all 3 projects. Therefore, advise ABC Company as to the order in which they should pursue the projects (i.e., which project should ABC Company attempt to do first, second, and last).

Provide justification and analysis as to why you chose the order you did. The analysis must also be done in Excel, not in a separate document.


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