The following data related to a target cost contract:

Target Cost $($Average$)=$$$125$ million

Cost at the start of target band $=$$$100$ million

Cost at the end of target band $=$$$150$ million

Minimum expected cost $=75\%$ of target cost.

GMC $($guarantee of maximum cost$)=$$$200$ million

Cost at zero fee $=$$$210$ million

Target Fee $($in case of target band achieved$)=$$$10$ million

Minimum fee $=$$$4$ million

Share saving $=\frac{60}{40}\%(60\%$ by the client$)$

Cost increase share $=\frac{70}{30}\%(70\%$ by the contractor$)$

Required

a$.$ Calculate the maximum fee of the contractor.

b$.$ Draw a sketch to illustrate the characteristics of this target cost contract $($Cost Vs$.$ Fee$).$

c$.$ Calculate the contractor's fee for the following cases:

If the cost of project equals $$130$ million

If the cost of project equals $$180$ million