nium sheets and al he maximum production capacity is estimated at either 800 sheets or 600 bars per day. The maximum daily demand is 550 sheets and 560 bars. The profit per ton is $40 per sheet and $35 per bar. Determine the optimal daily production mix. *2-11. An individual wishes to invest $5000 over the next year in two types of investment: Investment A yields 5%, and investment B yields 8%. Market research recommends an allocation of at least 25% in A and at most 50% in B. Moreover, investment in A should be at least half the investment in B. How should the fund be allocated to the two investments? 2-12. The Continuing Education Division at the Ozark Community College offers a total of 30 courses each semester. The courses offered are usually of two types: practical and humanistic. To satisfy the demands of the community, at least 10 courses of each type must be offered each semester. The division estimates that the revenues of offering prac- compone tical and humanistic courses are approximately $1500 and $1000 per course, respectively. (a) Devise an optimal course offering for the college. (b) Show that the worth per additional course is $1500, which is the same as the reve- nue per practical course. What does this result mean in terms of offering additional courses? 2-13. ChemLabs uses raw materials I and II to produce two domestic cleaning solutions, A and B. The daily availabilities of raw materials / and I/ are 150 and 145 units, respectively. One unit of solution A consumes .5 unit of raw material / and .6 unit of raw material II. One unit of solution B uses .5 unit of raw material / and .4 unit of raw material II. The nit of solutions A and B are $8 and $10, respectively. The daily demand for REDMI NOTE 8 PRO BYlution A lies between 30 and 150 units, and that for solution B between 40 and 200 units. Find the optimal production amounts of A and B