The Builders Company can produce up to 200 tiles per week. If the weekly cost function is C(x)=400+10x+0.04x^2, how many should be made to minimize the weekly average cost? 1) 100 2) 70 3) 50 4) 125

A business includes a monthly promotion funding of $154000. The commerce division calculates that if x dollars are spent on an article advertisement and y dollars on a computer advertisement, then the monthly deals will have this equation provided:   z = f(x, y) = 340x0.9 y^{0.9   Specify how much money the business should pay for article promotions and computer promotions monthly to make the best use of its monthly deals.

The following is a L.P.P: Max Z- 5X1+7X2+ 6X3 (Hundreds of dollars $) s.t: 3X1+ 4X2 + 2X3 -0 (production capacity; hours) (warehouse capacity: hundreds of sq. ft.) (demand for 6 oz. glasses: hundreds of cases) The optimal solution to the model as follows: Basis Св 5X1 7X2 S1 6X3 0.5 -1 S2 S3 RHS X2 S1 X1 1. -0.5 10 1. -3 10 1. -1 10 7. 1.6 -1.5 5n 8.5 120 C-Z 01 -2.5 -2 What effect on the optimal solution (value of Z) ,if we change b2 from 48.2 to 57.1 ?

A plane carrying food and water to a resort island can carry a maximum of 2700027000 pounds and is limited in space to carrying no more than 550550 cubic feet. Each container of water weighs 6060 pounds and takes up 11 cubic foot of cargo space. Each container of food weighs 150150 pounds and takes up 55 cubic feet. Hotels on the island will buy the food for 1919 dollars a pound and the water for 55 dollars per pound. What is the optimum number of containers of each item that will maximize the revenue generated by the plane? What is the maximum revenue? Let x represent the number of food containers and y represent the number of water containers.