During the next four months, a construction firm mustcomplete three projects. Project 1 must be completed withinthree months and requires 8 months of labor. Project 2 mustbe completed within four months and requires 10 months oflabor. Project 3 must be completed at the end of two monthsand requires 12 months of labor. Each month, 8 workers areavailable. During a given month, no more than 6 workers canwork on a single job. Formulate a maximum-flow problemthat could be used to determine whether all three projects canbe completed on time. (Hint: If the maximum flow in thenetwork is 30, then all projects can be completed on time.)

Mack's guitar fabrication shop produces low​ cost, highly durable guitars for beginners.​ Typically, out of the 100 guitars that begin production each​ month, only 82 percent are considered good enough to sell. The other 18 percent are scrapped due to quality problems that are identified after they have completed the production process. Each guitar sells for ​$240. Because some of the production process is​ automated, each guitar only requires 10 labor hours. Each employee works an average of 160 hours per month. Labor is paid at ​$10 per​ hour, materials cost is ​$40 per​ guitar, and overhead is ​$3,800. Part 2 a. The labor productivity ratio for​ Mack's guitar fabrication shop is

Five to six times a year, Kicker puts on tent sales in various cities throughout Oklahoma and the surrounding states. The tent sales are designed to show Kicker customers new products, engender enthusiasm about those products, and sell soon to be out-of-date products at greatly reduced prices. Each tent sale lasts one day and requires parking lot space to set up the Kicker semitrailer; a couple of show cars; a disc jockey playing music; a tent to sell Kicker merchandise, distribute brochures, and so on. Last year, the Austin, TX tent sale was held in a corner of the parking lot outside the city exhibition hall where the automotive show was in progress. Because most customers were interested more in the new model cars than in the refurbishment of their current cars, foot traffic was low. In addition, customers did not want to carry speakers and amplifiers all the way back to where they had originally parked. Total direct costs for this tent sale were $14,300. Direct costs…

An entrepreneur is starting up a new bakery featuring a special pastry from an old family recipe. The basic dough recipe requires 5cups of flour, which is 0.75kg, plus another 0.75kg consisting of all the other ingredients, sugar, butter, milk, yeast, fruits, nuts and spices, to make the dough for 15 medium pastries. She runs some tests to scale up her recipe. In her first test batch she creates dough for 300 pastries, how much flour, in kg, was required?

you also should use the binary constraints. can you fix it?