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functional cost and hour summary

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How can upper-level management use the functional cost and hour summary to determine manpower planning for the entire company? How would you expect management to react if the functional cost and hour summary indicated a shortage or an abundance of trained personnel?

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Manpower planning has five essential elements, including analyzing current manpower resource, reviewing employee utilization rates, forecasting demand and supply for employees and developing an effective manpower plan. A functional cost and hour summary assists in various elements of manpower planning by providing top management and senior managers with an overall description of how many hours and dollars will be spent by each major functional unit such as a division, so that top management can make sure that sufficient resources are available for each project, task or process.

Functional cost and hour summary, therefore, provides a clear ...

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How can upper-level management use the functional cost and hour summary to determine manpower planning for the entire company?

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Quantitative Analysis (See attachment)

Linear programing modeling . Please help with review questions.
1. A furniture manufacturer produces three products, desks, tables, and chairs. These products can be produced during either the morning shift or the evening shift. The morning shift has a labor cost of $20 per hour with a maximum availability of 20,000 hours. The evening shift has a labor cost of $25 per hour and is limited to 15,000 hours. The labor, lumber, and demand requirments are given as follows:

resource Desk Table Chair
Labor (hours) 0.75 2 0.5
Lumber (pounds) 7 15 4
Nails (pounds) 0.5 2 0.25

Demand: 50 75 100

Assume that there are 20,000 pounds of lumber and 20,000 pounds of nails for both shifts

Formulate this problem to minimize total labor cost

2. Friendly manufacturing has three factirues (1,2 AND 3) and three warehouses (A,B,C). The table below shows the shipping costs between each factory (in dollars) and warehouse, the factory manufacturing capabilities (in 1000's) and the warehouse capacities (in 1000's). Write the objective function and the constraint inequalities. Let X1a =1000s of units shipped from factory 1 to warehouse A, etc.

From To Production
A B C Capability

Factory 1 6 5 3 6
Factory 2 8 10 8 8
Factory 3 11 14 18 10
Factory 4 7 12 5

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