3. A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit?

Use linear programming to solve.

Question

3.	A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit?

Use linear programming to solve.

mdobbs6856 · Answer

Did you graph the inequalities?

iosangel · Answer

i havent even found the constraints

mdobbs6856 · Answer

x = the number of software program
y = the number of video games

$$x \le200$$ = inequality A

$$y \le300$$ = inequality B

$$x+y \le435$$ = inequality C

mdobbs6856 · Answer

or is it 425?

iosangel · Answer

425

mdobbs6856 · Answer

Then, 425*

mdobbs6856 · Answer

You can put the inequalities in desmos

iosangel · Answer

its not working

mdobbs6856 · Answer

It's supposed to look like this

mdobbs6856 · Answer

attachment

mdobbs6856 · Answer

The shaded vertices are (0,0),(0,300),(135,300),(200,235),(200,0)

iosangel · Answer

where did you get 435

mdobbs6856 · Answer

The function is equal to $$p=50x+35y$$

mdobbs6856 · Answer

I have confused myself. But I found that @shadow had already answered this question before so here, https://questioncove.com/updates/5b8ca82518f14a44aa2c5000

mdobbs6856 · Answer

does that help?

24marshpo · Answer

425

surjithayer · Answer

correction delete (425,0) so points are (0,0),(200,0),(200,225),(125,300) now calculate the profit at these points. https://www.desmos.com/calculator/chmavg3edh

surjithayer · Answer

$$x \le200$$
$$y \le300$$
$$x+y \le 425$$

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