A company's daily production cost model is given by $C=aM+bE$, where $a$ and $b$ are constants, $C$ is the total cost in dollars, $M$ is the amount of raw material (in kg), and $E$ is the energy consumed (in kWh). The model estimates that the cost is $190$ dollars if $100$ kg of raw material is used and $50$ kWh of energy is consumed. It also estimates the cost to be $200$ dollars if $80$ kg of raw material is used and $100$ kWh of energy is consumed. How many dollars does the model estimate the total cost will be if $120$ kg of raw material is used and $75$ kWh of energy is consumed?