An electronics firm produces two models of pocket calculators: the a-100 and the b-200. each model uses one circuit board, of which there are only 2,500 available for this week’s production. in addition, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators. each a-100 requires 15 minutes to produce while each b-200 requires 30 minutes to produce. the firm forecasts that it could sell a maximum of 4,000 of the a-100s this week and a maximum of 1,000 b-200s. profits for the a-100 are $1.00 each and profits for the b-200 are $4.00 each. let a = number of a-100 calculators b = number of b-200 calculators

what is the time constraint?

these are the available answers -

a.

1a + 1b ≤ 800.

b.

15a + 30b ≤ 800.

c.

0.5a + 0.25b ≤ 800.

d.

0.25a + 1b ≤ 800.

e.

0.25a + 0.5b ≤ 800.