To determine if a bakery is losing money, reaching its break even point, or gaining money, calculations involving costs, expenses, and income need to be made. How Does a Bakery Make Money?īakeries make money by making a profit, just like other businesses do. They often have brick and mortar shop locations, but some also incorporate online outlets. Many retail bakeries follow a direct to consumer sales model when selling their goods. Some bakeries can sell their products locally and ship them regionally or nationally (see How to Ship Cookies or How to Ship Food). Be sure to also consider white label vs. The industry also includes delivery drivers, equipment, and supplies that are used to support the industry along with the bakeries themselves.īakeries produce the actual baked goods, and they can be sold for a wholesale price, retail, or both. These foods include cakes, bread, pastries, pies, and similar foods. Then the number-of-loaves equation is: B + C + D = 2,150 - eq (i)Īlso, the cost-equation is: 2B + 3C + 4D = 6,850 - eq (ii)Īnd, the PROFIT equation is: 3B + 4.5C + 5.The bakery industry is part of the restaurant industry, and it refers to grain-based foods. Let number of butterscotch, chocolate, and coconut baked and sold, be B, C, and D, respectively You also don’t need any fancy equipment or software to solve this problem! Then again, the person who responded is none other that Mr. Plus, not everyone knows or may care to use matrices when solving equations. I don't see anywhere here where you asked for the problem to be solved using MATRICES, so I wonder why the other person would use that method. If the bakery makes a profit of RM2975 monthly, how many loaves of each type of bread will it bake? The sale prices of a loaf of butterscotch bread, a chocolate bread and a coconut bread are RM3, RM4.50 and RM5.50 respectively. The cost of baking a load of butterscotch bread is RM2, a chocolate bread is RM3 and a coconut bread RM4. Solve by using substitution method or elimination method:Ī bakery bakes three types of bread with the monthly cost being RM68 loaves of bread. There are various ways to get the same answer.Īnswer by MathTherapy(10176) ( Show Source): They are not necessarily the steps that i took manually. In doing that, you can also see the steps that the calculator used to get to the final answer. You are free to use the mechanized calculator to see if you get the same results. In step 8, i replaced row 1 with the calculation of row 1 - 3 * row 2 from step 7. In step 7, i replaced row 1 with the calculation of row 1 - 2 * row 2 from step 6. In step 6, i replaced row 2 with the calculation of row 2 * -1 from step 5. In step 5, i replaced row 2 with the calculation of row 2 + 2 * row 3 from step 4. I replaced row 2 with the calculation of row 2 minus row 1 from step 3. In step 4, i screwed it up and just crossed it out and repeated step 4 below that. That's what R1 - R2 means on row 1 of the matrix in step 2. In step 3, i replaced row 1 with the calculation of row 1 minus row 2 from step 2. That's what R1 - 2R3 means on row 3 of the matrix in step 1. In step 2, i replaced row 3 with the calculation of row 1 minus 2 * row 3 from step 1. That's the 3 equations with only the coefficients and the constants showing. In step 1, i just copied down the matrix. I just happened to get to the second form, which was actually quite good for a first effort. The goal is to get the matrix into one of the forms i shows you above. The one below is just one tactic that was used. The are different procedures that will work. It's a little sloppy, but you should be able to get the idea from it as to how the procedure works. I took a stab at doing this manually, just to see if i could get the same answer. The a,b,c in the first form, however, would be the same as the a,b,c in the second form, once the final divisions were performed. The t's in the first form would, naturally, not be the same values as the t's in the second form, since the division was already done in the second form. While, in the second form, that has already been done and you can just read off the answer as: In the first form, however, you will need to go one extra step, such as: You could stop there, or you could go a step further and get your matrix into a form of: If you were to do this manually, you would probably do the following, or something that, the goal being to get your matrix into a form of: I used a gaussian elimination calculator such as the one found at Replace the variables with their respective values to get: You can put this solution on YOUR website!
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