A feasible region is defined by $x\ge 0$, $y\ge 0$, $x+y\le 12$ and $2x+y\le 13$. Which constraint, if any, does the point (5, 4) fail?

A feasible region is defined by $x\ge 0$, $y\ge 0$, $x+y\le 12$ and $2x+y\le 10$. Which constraint, if any, does the point (6, 2) fail?

A farm makes a crates of apples and p crates of pears. Each of the crates of apples uses 2 units of material, each of the crates of pears uses 5, 40 units are available, and at most 10 crates of apples can be made. Which pair of constraints states this?

A feasible region is defined by $x\ge 0$, $y\ge 0$, $x+y\le 10$ and $2x+y\le 11$. Which constraint, if any, does the point (5, 4) fail?

A feasible region has vertices (2, 0), (0, 4), (3, 3), (6, 1). What is the maximum value of P = 5x + y over the region?

A feasible region has vertices (0, 0), (0, 5), (4, 3), (6, 0). A student tests only the interior point (1, 1) and reports the maximum of P = 2x + 5y as 7. What is wrong?

A feasible region has vertices (2, 0), (0, 4), (3, 3), (6, 1). What is the maximum value of P = 3x + 3y over the region?

A feasible region has vertices (0, 0), (0, 7), (2, 6), (5, 2). What is the maximum value of P = 5x + 6y over the region?

A bakery makes r rye loaves and s sourdough loaves. Each of the rye loaves uses 4 units of material, each of the sourdough loaves uses 5, 80 units are available, and at most 10 rye loaves can be made. Which pair of constraints states this?

A feasible region has vertices (0, 2), (0, 8), (3, 5), (4, 0). A student tests only the interior point (1, 3) and reports the maximum of P = 3x + 4y as 15. What is wrong?

A bakery makes r rye loaves and s sourdough loaves. Each of the rye loaves uses 2 units of material, each of the sourdough loaves uses 3, 40 units are available, and at most 12 rye loaves can be made. Which pair of constraints states this?

A studio makes m mugs and b bowls. Each of the mugs uses 2 units of material, each of the bowls uses 5, 40 units are available, and at most 10 mugs can be made. Which pair of constraints states this?

A studio makes m mugs and b bowls. Each of the mugs uses 4 units of material, each of the bowls uses 5, 40 units are available, and at most 15 mugs can be made. Which pair of constraints states this?

A feasible region has vertices (0, 0), (0, 5), (4, 3), (6, 0). What is the minimum value of C = 2x + 4y over the region?

A feasible region has vertices (0, 0), (0, 5), (4, 3), (6, 0). What is the maximum value of P = 4x + 6y over the region?

A feasible region has vertices (1, 1), (1, 6), (5, 4), (7, 0). What is the maximum value of P = 4x + 6y over the region?

A feasible region is defined by $x\ge 0$, $y\ge 0$, $x+y\le 10$ and $2x+y\le 10$. Which constraint, if any, does the point (3, 6) fail?

A feasible region is defined by $x\ge 0$, $y\ge 0$, $x+y\le 10$ and $2x+y\le 13$. Which constraint, if any, does the point (4, 6) fail?

A feasible region has vertices (1, 1), (1, 6), (5, 4), (7, 0). A student tests only the interior point (2, 2) and reports the maximum of P = 2x + 5y as 14. What is wrong?

A feasible region has vertices (1, 1), (1, 6), (5, 4), (7, 0). A student tests only the interior point (2, 2) and reports the maximum of P = 3x + 4y as 14. What is wrong?