please do all parts in 40 minutes please urgently... I'll give you up thumb definitely

The art collector's current wealth is 1,000,000. She is considering insuring her collection, against any possible loss (i.e., theft and physical damage). Her estimates of the amount of loss and the associated probabilities are as given in the table below: The losses are mutually exclusive and no more than one type of loss can be on the insurance claim. An insurance company with a capital of 100,000,000 appraises the potential of losses and their associated probabilities in the same way as the art collector. The utility function of the insurance company is u(c)=1,000,000+0.3c, where c>0 is the insurer's capital. c) Calculate the minimum premium the insurer is willing to offer for a policy that insures the above losses. [4 marks] d) Calculate the maximum price that the art collector is prepared to pay in order to insure her collection. [4 marks] e) Determine whether the insurance company and the art collector can agree on a policy that is advantageous to both parties. [2 marks] The art collector's current wealth is 1,000,000. She is considering insuring her collection, against any possible loss (i.e., theft and physical damage). Her estimates of the amount of loss and the associated probabilities are as given in the table below: The losses are mutually exclusive and no more than one type of loss can be on the insurance claim. An insurance company with a capital of 100,000,000 appraises the potential of losses and their associated probabilities in the same way as the art collector. The utility function of the insurance company is u(c)=1,000,000+0.3c, where c>0 is the insurer's capital. c) Calculate the minimum premium the insurer is willing to offer for a policy that insures the above losses. [4 marks] d) Calculate the maximum price that the art collector is prepared to pay in order to insure her collection. [4 marks] e) Determine whether the insurance company and the art collector can agree on a policy that is advantageous to both parties. [2 marks]