A

Subject:MathPrice:5.87 Bought7

Share With

A. The Central City Manufacturing Company produces two types of toy model cars, the standby streamer and the model T. Three machines are required to produce each type; these machines are classified as MC1, MC2, and MC3. Each standby streamer requires seven (7) minutes process time on MC1, four (4) minutes on MC2 and 10 minutes on MC3. A model T requires four (4) minutes on MC1, fifteen (15) minutes on MC2, and sixteen (16) minutes on MC3. Each day there are 420 minutes of available time on MC1, 600 minutes on MC2 and 840 minutes on MC3. The variable cost is P50 per unit of standby streamers and P64 per unit for the model T. Standby streamers sell at a price of P58 per model, whereas model T's sell for P70 per model. Set up the LP to determine the daily production rate for the two models which will maximize profit.

 

B. A pharmaceutical firm wishes to allocate P50, 000 towards advertising in newspapers and magazines. The intention of the firm is to maximize the exposure of its advertisements. Each page of the leading newspaper costs P500 and each page of a magazine costs P1, 000. It is guaranteed that each page of the magazine will reach the audience of 250, 000, while 50, 000 persons will read each page of the newspaper advertisement. Furthermore, it is specified that at least one page of the magazine and newspaper will be allocated for the firm's advertisement. Set-up the linear program in order to determine the number of pages of magazine and newspapers advertisement that will maximize exposure and still remain within the P50, 000 budget.

 

C. A small generator burns two types of fuel: low sulfur and high sulfur, to produce electricity. For one hour, each gallon of low sulfur emits three (3) units of sulfur dioxide, generates four (4) kilowatts electricity and costs P60. Each gallon of high sulfur emits five (5) units of sulfur dioxide, generates four (4) kilowatts electricity and costs P50. The environmental protection agency insists that the maximum amount of sulfur dioxide that can be emitted per hour is 15 units. Suppose that at least 16 kilowatts electricity must be generated per hour, how many gallons of low sulfur and how many gallons of high sulfur must be utilized per hour in order to minimize the cost of fuel? Formulate LP