The tabular company makes two types of tables: rectangular and round. each table requires assembly, finishing, and a certain amount of wood to make. due to the other uses of the assembly-finishing area in the evenings, it can be used for at most 9 hours per day, and all tables must be completed on the day of manufacture. producing a rectangular table requires 3 hours of assembly and finishing, and 0.2 cubic meters of wood. producing a round table requires 1.5 hours of assembly and finishing, and 0.4 cubic meters of wood. note also that: • there is only 1 cubic metre of wood available per day. • only one table can be assembled/finished at a time. • a rectangular table gives a profit of €175, whereas a square table gives a profit of €200. • due to a labour agreement, the assembly-finishing crew needs to work at least 6 hours per day. assuming profit is to be maximised, how many rectangular tables should be made?

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )