Grework project 1 using the simplex method.1. write an objective function to represent the situation.2. write the corresponding set of constraints to represent the situation.3. use a software program or a graphing utility to determine the daily numbers of truckloads of sand that should be hauled from each source to each beach to minimize the total daily transportation cost. then find the minimum daily transportation cost.

Two flowing streams of argon gas are adiabatically mixed to form a single flow/stream. one stream is 1.5 kg/s at 400 kpa and 200 c while the second stream is 2kg/s at 500 kpa and 100 ? . it is stated that the exit state of the mixed single flow of argon gas is 150 c and 300 kpa. assuming there is no work output or input during the mixing process, does this process violate either the first or the second law or both? explain and state all your assumptions.

Ariver flows from north to south at 8 km/h. a boat is to cross this river from west to east at a speed of 20 km/h (speed of the boat with respect to the earth/ground). at what angle (in degrees) must the boat be pointed upstream such that it will proceed directly across the river (hint: find the speed of the boat with respect to water/river)? a 288 b. 21.8 c. 326 d. 30.2

For a gate width of 2 m into the paper, determine the force required to hold the gate abc at its location.