pricing model\npricing model revenue function\n1 $r(t)=38.75t$\n2 $r(t)=36t$\n3 $r(t)=45.25t$\n4…

pricing model\npricing model revenue function\n1 $r(t)=38.75t$\n2 $r(t)=36t$\n3 $r(t)=45.25t$\n4 $r(t)=21.75t$\nmavis has started a landscaping business. she has determined that her daily costs, in dollars, can be modeled by the function $c(t)=12.5t + 250$, where $t$ is the number of hours of service her company provides to its customers. she is considering four different pricing models. the daily revenue function for each is shown in the table. mavis will determine her daily profit function $p(t)$ by subtracting her daily costs $c(t)$ from the revenue $r(t)$ determined by the selected pricing model. which of these statements is correct about the daily profit function, $p(t)$ for maviss company? select three that apply.\na if mavis chooses pricing model 1, her daily profit function will be $p(t)=26.25t - 250$.\nb if mavis chooses pricing model 2, her daily profit function will be $p(t)=23.50t - 250$.\nc if mavis chooses pricing model 3, her daily profit function will be $p(t)=32.75t - 250$.\nd if mavis chooses pricing model 4, her daily profit function will be $p(t)=34.25t - 250$.

pricing model\npricing model revenue function\n1 $r(t)=38.75t$\n2 $r(t)=36t$\n3 $r(t)=45.25t$\n4 $r(t)=21.75t$\nmavis has started a landscaping business. she has determined that her daily costs, in dollars, can be modeled by the function $c(t)=12.5t + 250$, where $t$ is the number of hours of service her company provides to its customers. she is considering four different pricing models. the daily revenue function for each is shown in the table. mavis will determine her daily profit function $p(t)$ by subtracting her daily costs $c(t)$ from the revenue $r(t)$ determined by the selected pricing model. which of these statements is correct about the daily profit function, $p(t)$ for maviss company? select three that apply.\na if mavis chooses pricing model 1, her daily profit function will be $p(t)=26.25t - 250$.\nb if mavis chooses pricing model 2, her daily profit function will be $p(t)=23.50t - 250$.\nc if mavis chooses pricing model 3, her daily profit function will be $p(t)=32.75t - 250$.\nd if mavis chooses pricing model 4, her daily profit function will be $p(t)=34.25t - 250$.

Answer

Explanation:

Step1: Recall profit - revenue - cost formula

The profit function $P(t)$ is given by $P(t)=R(t)-C(t)$, where $R(t)$ is the revenue function and $C(t)$ is the cost function. Here, $C(t) = 12.5t+250$.

Step2: Calculate profit for Pricing Model 1

For $R(t)=38.75t$, $P(t)=38.75t-(12.5t + 250)=38.75t-12.5t-250=26.25t-250$.

Step3: Calculate profit for Pricing Model 2

For $R(t)=36t$, $P(t)=36t-(12.5t + 250)=36t-12.5t-250=23.5t-250$.

Step4: Calculate profit for Pricing Model 3

For $R(t)=45.25t$, $P(t)=45.25t-(12.5t + 250)=45.25t-12.5t-250=32.75t-250$.

Step5: Calculate profit for Pricing Model 4

For $R(t)=21.75t$, $P(t)=21.75t-(12.5t + 250)=21.75t-12.5t-250=9.25t-250$.

Answer:

A. If Mavis chooses pricing Model 1, her daily profit function will be $P(t)=26.25t - 250$. B. If Mavis chooses pricing Model 2, her daily profit function will be $P(t)=23.5t - 250$. C. If Mavis chooses pricing Model 3, her daily profit function will be $P(t)=32.75t - 250$.