C. CHECK C. 1 Check for Understanding Solve the given Linear Programming maximization problem. Also, just a heads up, this activity is going to count for 20\% of your P3 Exam grade. So, make sure you're putting your best effort into it and really engage with your partner. Let's make it count and let's get started! Imagine there's a local barangay cafe that offers two types of services: Coffee and Snacks. Each service requires the assistance of two staff members, Barista A and Barista B. Each Coffee service takes 1 hour of assistance by Barista A and 2 hours by Barista B, while each Snacks service takes 3 hours by Barista A and 1 hour by Barista B. The cafe has Barista A available for 25 hours each week and Barista B available for 30 hours each week. The profit per Coffee service is \( P 80 \), and the profit per Snacks service is \( P 120 \). How many services of each type the cafe should schedule each week to maximize profits?

2. Даны точки \( A(1,-\boldsymbol{k}, 2), B(2,3,-1), C(2,-2,4), D(-1,1,3) \), являющиеся вершинами пирамиды \( A B C D(k- \) номер по журналу). Найдите: а) вектора АВ, \( \mathrm{AC}, \mathrm{AD} ; \) б) площадь треугольника \( A B C \); в) объем пирамиды \( A B C D \); г) косинус угла \( B A C \).

raphs of Quadratic Function ivity: What will be the vertex and new equation of the parabol if the graph of the function \( y=5(x-2)^{2} \) is shifted 12 uni to the right. What will be the vertex and new equation of the parabol if the graph of the function \( y=x^{2}+3 \) is shifted 6 units downward. What will be the vertex and new equation of the parabola if graph of the function \( y=(x-5)^{2}-1 \) is shifted 4 units to the ht and 8 units upward

toping. 2. AB va CD kesmalar O nuqtada kesishadi, \( \mathrm{AO}=12 \mathrm{sm}, \mathrm{BO}=4 \mathrm{sm}, \mathrm{CO}=30 \) sm, \( \mathrm{DO}=10 \mathrm{sm} \) bo'lsa, AOC va BOD uchburchaklar yuzlari nisbatini toping.

\begin{tabular}{l} PROBLEMARIO DE MATEMATICAS FINANCIERAS \\ 5. Determina la suma de los 10 primeros términos de la progresión \( -6,12,-24 \ldots \) \\ DATOS \\ PROCEDIMIENTO \\ \hline\end{tabular}

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