A multinational company operates three departments of animal products. To determine the interdepartmental dependance a study was conducted during some season and the following results obtained. A multinational company operates three departments of animal products. To determine the

interdepartmental dependence a study was conducted during some season and the following

results obtained.

The total outputs worth from the three departments; horticulture, mining, and animal

products were KSH $100$ million, $200$ million, and $150$ million respectively

The total input worth from horticultural department back into itself was worth KSH $10$

million and to mining department was worth KSH $25$ million, while to animal products

department was worth KSH $30$ million.

The inputs required from mining department back to itself, horticultural, and animal

department were worth KSH $15$ million, $10$ million, and $15$ million respectively

On the other hand, the input requirement from animal products department to horticulture,

itself, and mining was worth KSH $5$ million, $10$ million, and $15$ million.

During this coming season, the external demand worth from the three departments are KSH $50$

million, $90$ million, and $60$ million.

Questions

a$.$ Determine the total output worth required from each of the departments during this

coming season

b$.$ Distribute the outputs among the users

c$.$ Determine the change in total output worth if the external demand decreases by KSH $5$

million, increases by KSH $10$ million, and increases by KSH $8$ million respectively