Galaxy produces two toys: Space Rays and Zappers. These are toy guns that are produced in lots of one dozen each. Space Rays require two pounds of plastic to mold and it takes three minutes of labor to produce a dozen. Zappers require one pound of plastic and 4 minutes of labor time to produce. Galaxy has 2400 minutes of production time and 1,000 pounds of plastic per week to make their products. They have decided that they will not make more than 700 dozen (combined) of these toys, and have also decided that they will limit the production of Space Rays so that they don't make more than 350 dozen more Space Rays than Zappers. A linear program to get the appropriate production mix also produced the sensitivity analysis shown below. If the profit per unit of Zappers increased by $5.03, what would be the total profit for Galaxy? (show your answer to the penny, e.g., 1234.56)

Galaxy produces two toys: Space Rays and Zappers. These are toy guns that are produced in lots of one dozen each. Space Rays require two pounds of plastic to mold and it takes three minutes of labor to produce a dozen. Zappers require one pound of plastic and 4 minutes of labor time to produce. Galaxy has 2400 minutes of production time and 1,000 pounds of plastic per week to make their products. They have decided that they will not make more than 700 dozen (combined) of these toys, and have also decided that they will limit the production of Space Rays so that they don't make more than 350 dozen more Space Rays than Zappers. A linear program to get the appropriate production mix also produced the sensitivity analysis shown below. If the profit per unit of Zappers increased by $5.03, what would be the total profit for Galaxy? (show your answer to the penny, e.g., 1234.56)