6. (10 points)
An electronics firm decides to launch two models of a tablet, TAB1 and TAB2. The cost
of making each device of type TAB1 is $120 and the cost for TAB2 is $160. The firm
recognises that this is a risky venture, so it decides to limit the total weekly production
costs to $4000. Also, due to a shortage of skilled labour, the total number of tablets
that the firm can produce in a week is at most 30. The profit made on each device is
$600 for TAB1 and $700 for TAB2. How should the firm arrange production to max-
imise profit?