Question

After living together for a year, Mary, Martha, and Alice have decided to go their separate ways. They have several items they bought together as well as some moving-out chores to divide. The values they place on each are given below. Using the sealed bids method, find the final allocation

	Mary	Martha	Alice
dishes	40	25	30
vacuum cleaner	110	120	95
dinning table	120	90	135
detail cleaning	-60	-45	-50
cleaning carpets	-30	-60	-50

Answer 1

Answer :

• In the fixed offers technique, every thing is granted to the most astounding bidder, and the task is likewise given to the most noteworthy bidder (as we have offers in negative).
• Thus, the dishes are given to Mary since she is the most elevated bidder. The vacuum cleaner is given to Martha, eating table to Alice, detail cleaning to Martha, and cleaning rugs to Mary.
• Presently, we include the absolute offers put by the three.
• Mary offer for 170, Martha for 120, and Alice for 150. Furthermore, presently we separate the absolute offered by the quantity of players, 3 for this situation.

In this way, the reasonable dollar offer is as per the following :-

Mary - 56.67, Martha - 40, and Alice - 50.

As Mary got things worth 10, Martha worth 40, and Alice worth 130, Mary gets 46.67 from the domain, Martha does neither get nor owe anything to the bequest, while Alice owes 80 to the home.

Consequently, the domain gets 80 briefly and gives 46.67, the home has remaining of 33.33 which is isolated similarly among the three.

Along these lines, Mary gets the dishes and needs to clean the rugs and she additionally gets = 46.67 + 11.11

= 57.78

Martha gets the vacuum cleaner and needs to do detail cleaning and she likewise gets 11.11

Alice gets the feasting table and she pays = 80 - 11.11

= 68.89