Each product is composed of plastic in the following amounts (in pounds): Space Rays - 2, Zappers - 1, Big Squirts - 3, and Soakers - 4. The number of minutes required to produce each are: Space Rays - 3, Zappers -4, Big Squirts -5, and Soakers - 6. Spacely has signed a contract with the Cloud Nine Toy Co. to supply it with 200 dozen Zappers weekly once the relocation has taken place. The marketing department has revised its strategy for the post-relocation period. (That Jetson is something, eh?) It has concluded that, to keep total demand at its peak, Spacely's most popular model, the Space Ray, should account for exactly 50% of total production, while no other product line should account for more than 40%. But now, instead of limiting production to 800 dozen/week, the department wishes to ensure that production will total at least 1000 dozen units weekly. (There go the marketeers again!) Management would like to determine the weekly production schedule (including any overtime hours, if necessary) that will maximize its net weekly profit. (This is your cue. Solve it!)