An experiment that involves learning in animals requires placing white mice and rabbits into separate, controlled environments: environment I and environment II. The maximum amount of time available in environment I is420minutes,and the maximum amount of time available in environment II is624minutes.The white mice must spend10 minutesin environment I and24minutesin environment II, and the rabbits must spend12 minutesin environment I and16minutesin environment II.

The Digital Star Company makes two different models of computer tablets, which are assembled on two different assembly lines. Line 1 can assemble 30 units of the Star model and 40 units of the Prostar model per hour, and Line 2 can assemble 150 units of the Star model and 40 units of the Prostar model per hour. The company needs to produce at least 270 units of the Star model and 200 units of the Prostar model to ll an order. (a) Write the inequalities that describe the production constraints on the number of each type of tablet needed to ll the order. (Let x be the number of hours that Line 1 is run, and let y be the number of hours that Line 2 is run.) 30x + 150y 2 270 production constraint, Star model \\I 40x + 40y 2 200 productlon constraint, Prostar model I x 2 0 production constraint, hours that Line 1 is run y 2 0 production constraint, hours that Line 2 is run (b) Graph the region determined by these constraint inequalities. Submission Data An experiment that involves learning in animals requires placing white mice and rabbits into separate, controlled environments: environment I and environment II. The maximum amount of time available in environment I Is 420 minutes, and the maximum amount of time available in environment II is 624 minutes. The white mice must spend 10 minutes In environment I and 24 minutes in environment 11, and the rabbits must spend 12 minutes in environment I and 16 minutes In environment 11. (a) Write a system of lnequalltles that describes the constraints on the number of each type of animal used In the experiment. (Let X represent the number of mice, and let y represent the number of rabbits.) 10x + 12y S 420 environment I time constraint q/ 24x + 16y S 624 environment II time constraint x 2 0 experiment constraint, mice y 2 0 experiment constraint, rabbits (b) Graph the solution of the system of inequalities and nd the corners of the solution region. Submission Data