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(1 point) A company produces three types of pencil holders: basic, deluxe, and supreme. All types require plastic, rubber, and silver as shown below: Type
(1 point) A company produces three types of pencil holders: basic, deluxe, and supreme. All types require plastic, rubber, and silver as shown below: Type Plastic Rubber Silver Basic 1 2 2 Deluxe 2 2 4 Supreme 1 2 4 The company has 1100 units of plastic, 1400 units of rubber, and 2500 units of silver. It makes a profit of $3, $4, and $2 respectively on basic, deluxe, and supreme pencil holders. Assuming that all pencil holders which are manufactured can be sold, determine the number of each type of pencil holder the company should produce to maximize its profit. Number of Basic pencil holders = Number of Deluxe pencil holders = Number of Supreme pencil holders = (1 point) A furniture company makes bar stools, tables, and chairs. Each bar stool requires 1 hour of labor, 8 feet of wood, and 0.2 gallons of stain. Each chair requires 4 hours of labor, 16 feet of wood, and 0.4 gallons of stain. Each table requires 2 hours of labor, 32 feet of wood, and 0.5 gallons of stain. Each week, the company has 600 hours of labor, 3360 feet of wood, and 60 gallons of stain. The company makes $10 in profit per bar stool, $25 in profit per chair, and $35 in profit per table. In order to maximize their profit, the furniture company should make bar stools per week, chairs per week, tables per week. What is the maximum profit? This strategy will leave unused hours of labor per week, unused feet of wood per week, and gallons of stain per week. (1 point) A company is considering two insurance plans with the following types of coverage and premiums: Plan A Plan B Fire/T heft $28,000 $32,000 Liability $172,000 $132,000 Monthly Premium $80 $68 Premiums are sold in units. For example, one can buy one unit of plan A insurance for $80 per month and receive $28,000 in Fire/T heft insurance. Two units of plan A insurance cost $160 per month and give $56,000 in FirefTheft insurance. The company wants at least $600,000 in coverage for Fire/T heft insurance and $3,040,000 in coverage for liability insurance. How many units of each plan should be purchased to meet the needs of the company while minimizing cost? The company should purchase units of plan A and units of plan B. What is the minimum monthly premium for the company? $ (1 point) A hardware store will run an advertising campaign using radio and newspaper. Every dollar spent on radio advertising will reach 40 people in the "Gen X" market, and 40 people in the "millennials" market. Every dollar spent on newspaper advertising will reach 60 people in the "Gen X" market, and 20 people in the "millennials" market. If the store wants to reach at least 132,000 people in the "Gen X" market and 160,000 people in the "millennials" market, how much should it spend on each type of advertising to minimize the cost? Minimum amount spent on advertising (in dollars): Dollars spent on radio advertising: Dollars spent on newspaper advertising
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