A firm produces a good in two qualities A and B for the coming year, the estimated output of A is 50% higher then B. the profit per unit sold is $300 for A and $200 for B. if the target is $13000 over the next year how much of each of the two qualities must be produced?

Hi, yazeed!

Is this homework? If it might be, then what do you think the answers might be and why do you think so, please?

If you do that, then you'll be more likely to have someone knowledgeable come along who can help you to solve what you're asking.

Thanks!

If the production of A is 50% higher than that of B, then:

1.5A = B

where A and B are the amount of films produced. I used 1.5 because I am considering 100% to be the amount of films of B quality produced, then A will be 150%. As 100% = 1 and 150%=1.5, I think it's understood why I used those numbers.

Now, that was the first equation. For the second one, the profit is given by:

300A+200B = 13000

300A gives the profit through the film of A quality, and 200B, that for the film of B quality. Both should reach 13 000.

You now have two equations. Can you solve them? It is a usual simultaneous equation.

I hope it helped! :)