Playtime Inc. makes children’s backyard play equipment.Jungle Gym I requires 3 l
ID: 1943716 • Letter: P
Question
Playtime Inc. makes children’s backyard play equipment.Jungle Gym I requires 3 labor-hours of assembly and 2 labor-hours of testing.Jungle Gym II requires 4 labor-hours of assembly and 1 labor-hours of testing. Each day there are 32 labor-hours available for assembly and 13 labor-hours available for testing.How many of each Jungle Gym should Playtime Inc. produce each day to maximize its total daily output?
Be sure to provide the table, the objective function, the graph, the vertices, the test, and the final answer.
Explanation / Answer
Hmm .. I'm not sure how to do this with a table and "objective function" etc etc etc. But You can use the methods of substitution to find the values for X and Y, which will represent the amount of Jungle Gyms required to build in a day. X being the number of JG1, and Y being the number of JG2 to build per day. Looking only at the assembly hours, we know that x (3) + y (4) = 32 Similarly, looking only at the testing hours: x (2) + y (1) = 13 So, rearranging the 2nd formula we get y = 13 - 2x (we will call this formula 3) Plug formula 3 into #1. 3x + (13 - 2x)(4) = 32 3x + 52 - 8x = 32 -5x = - 20 x = 4 Plug x= 4 into eq. 1 4 (3) + y (4) = 32 12 + 4y = 32 4y = 20 y = 5 Therefore, You need to make 4 of JG1, and 5 of JG2 per day