A company is considering whether it should propose two contracts $($Contract$-$A and Contract$-$B$)$ on offer from a government department for the supply of certain components. The company has three options:

propose for Contract$-$A only; or

propose for Contract$-$B only; or

propose for both Contract$-$A and Contract$-$B$.$

For Contract$-$A$,$ the cost of proposing is $$30,000.$ The component supply cost is $$18,000.$ The cost of proposing Contract$-$B is $$14,000.$ The component supply cost is $$8,000.$ The cost of proposing for both Contract$-$A and Contract$-$B is $$42,500.$ The component supply cost is $$23,000.$ For each option, possible prices that the company will take are determined differently depending on the bidding condition. The following table shows how possible prices vary for each bidding condition and option.

$\backslash$table$[[$Options$,$Bidding condition,Probability,Price $($$$)],[$Contract$-$A only,Competitive,$0\mathrm{.}35,100,000],[$Non$-$competitive,$0\mathrm{.}65,130,000],[$Competitive$,0\mathrm{.}30,60,000],[,$Neutral,$0\mathrm{.}40,70,000],[,$Non$-$competitive,$0\mathrm{.}30,80,000],[\backslash$table$[[$Both Contract$-$A$],[$and Contract$-$B$]],$Competitive,$0\mathrm{.}65,155,000],[$Non$-$competitive,$0\mathrm{.}35,200,000]]$

To maximize the profit $($Price $-$ estimated cost$),$ which option should the company take? Answer using a decision tree.