need help with the following questions!

1) (2 points] Set up an LP model of the situation described below. Do not solve the LP problem. A plastic duck manufacturer is considering the purchase of two different types of 3D printers: model A and model B. Model A can print 40 ducks per minute and requires 1 attendant, whereas model B can print 60 ducks per minute and requires 2 attendants. Suppose the manufacturer must print at least 300 ducks per minute and cannot afford more than 14 employees for the printing operation. If a model A printer costs $5,000 and a model B printer costs $8,000, how many machines of each type should be bought to minimize the cost? 2) (2 points) Let x and xy be two feasible solutions to an LP problem in standard form with objective function cTx. Show that if the objective function has the same value k at X1 and X2, then it has the same value k at any point on the line segment joining X1 and X2