This problem is so hard. I can't figure it out! I've been on it for almost an hour and I'm in desperate need of help ):
"A gaming manufacturing company has developed a new gaming system. To produce the new system, they plan on using resources in two manufacturing plants. The table gives the hours needed for three tasks. For both plants combined, the company has allocated the following resources on a weekly basis: 1700 h of motherboard production, 1800h of technical labor, and 2400 h of general manufacturing. The first plant earns a profit of $90 per gaming system and the second plant earns $70 per system.
Use the information above to determine how many gaming systems the company should make in each plant to maximize profit.
Resources Plant 1 (Hours per system) Plant 2 (hours per system) Motherboard Production 9 1 Technical Labor 9 3 General manufacturing 4 8
1. Create an objective function for the profit P that the company can earn. Let x represent the number of gaming systems that will be made in Plant 1, and let y represent the number of gaming systems that will be made in plant 2.
(My answer - P(x,y)=90x +70y
2. Write a constraint function for each of the resources and for any contextual contraints that you identify. (Hint. THere are 5 of these, 2 are common sense)
(What I have x_>0 & y_>0) I NEED HELP WITH THIS!