Acompany 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?

identify variables, state objective function, and state the constraints.

200- software (x)          225- video game (y)    = 425 items

Step-by-step explanation:

software- 200 = $10,000      video-225 = $7,875

                              total= $17,875

200x + 225y = $17,875

i think it would be 42cm

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages