Final answer:
To find the maximum combined number of knit caps and cutting boards Cho can produce, we set up equations and solve for the number of each item. The correct answer is 6 knit caps and 9 cutting boards.
Step-by-step explanation:
To determine the maximum combined number of knit caps and cutting boards Cho can produce, we need to consider the time it takes to produce each item and the total available production time. Since Cho spends 8 hours crafting each knit cap and 2 hours crafting each cutting board, we can set up the following equations:
Total time for knit caps = 8 * x
Total time for cutting boards = 2 * y
Therefore, 8x + 2y = 48 (where x is the number of knit caps and y is the number of cutting boards)
To find the maximum combined number of knit caps and cutting boards, we can use trial and error or substitution. By substituting x = 6 and y = 9, we get 8*6 + 2*9 = 48.
Therefore, the correct answer is 6 knit caps and 9 cutting boards, so option B) 12 knit caps and 6 cutting boards is incorrect. The correct answer is 6 knit caps and 9 cutting boards, so option D) 16 knit caps and 8 cutting boards is also incorrect.